Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.10 | ||
Character | \(\chi\) | \(=\) | 112.3 |
Dual form | 112.2.v.a.75.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.438321 | − | 1.34457i | 0.309940 | − | 0.950756i | ||||
\(3\) | 2.29647 | − | 0.615336i | 1.32587 | − | 0.355265i | 0.474693 | − | 0.880151i | \(-0.342559\pi\) |
0.851172 | + | 0.524887i | \(0.175892\pi\) | |||||||
\(4\) | −1.61575 | − | 1.17871i | −0.807874 | − | 0.589355i | ||||
\(5\) | −0.223959 | + | 0.835825i | −0.100157 | + | 0.373792i | −0.997751 | − | 0.0670318i | \(-0.978647\pi\) |
0.897593 | + | 0.440824i | \(0.145314\pi\) | |||||||
\(6\) | 0.179226 | − | 3.35748i | 0.0731688 | − | 1.37069i | ||||
\(7\) | −1.25761 | + | 2.32775i | −0.475331 | + | 0.879807i | ||||
\(8\) | −2.29308 | + | 1.65584i | −0.810725 | + | 0.585427i | ||||
\(9\) | 2.29704 | − | 1.32620i | 0.765681 | − | 0.442066i | ||||
\(10\) | 1.02566 | + | 0.667489i | 0.324343 | + | 0.211078i | ||||
\(11\) | −2.03316 | + | 0.544785i | −0.613022 | + | 0.164259i | −0.551954 | − | 0.833875i | \(-0.686117\pi\) |
−0.0610684 | + | 0.998134i | \(0.519451\pi\) | |||||||
\(12\) | −4.43582 | − | 1.71264i | −1.28051 | − | 0.494396i | ||||
\(13\) | −0.336492 | + | 0.336492i | −0.0933261 | + | 0.0933261i | −0.752228 | − | 0.658902i | \(-0.771021\pi\) |
0.658902 | + | 0.752228i | \(0.271021\pi\) | |||||||
\(14\) | 2.57859 | + | 2.71125i | 0.689158 | + | 0.724611i | ||||
\(15\) | 2.05725i | 0.531181i | ||||||||
\(16\) | 1.22129 | + | 3.80900i | 0.305322 | + | 0.952249i | ||||
\(17\) | −0.0488652 | − | 0.0282123i | −0.0118516 | − | 0.00684250i | 0.494063 | − | 0.869426i | \(-0.335511\pi\) |
−0.505914 | + | 0.862584i | \(0.668845\pi\) | |||||||
\(18\) | −0.776326 | − | 3.66984i | −0.182982 | − | 0.864990i | ||||
\(19\) | 2.11632 | − | 7.89820i | 0.485516 | − | 1.81197i | −0.0922079 | − | 0.995740i | \(-0.529392\pi\) |
0.577724 | − | 0.816232i | \(-0.303941\pi\) | |||||||
\(20\) | 1.34706 | − | 1.08650i | 0.301211 | − | 0.242949i | ||||
\(21\) | −1.45571 | + | 6.11945i | −0.317661 | + | 1.33537i | ||||
\(22\) | −0.158677 | + | 2.97253i | −0.0338300 | + | 0.633745i | ||||
\(23\) | −3.59814 | − | 6.23216i | −0.750264 | − | 1.29949i | −0.947695 | − | 0.319178i | \(-0.896593\pi\) |
0.197431 | − | 0.980317i | \(-0.436740\pi\) | |||||||
\(24\) | −4.24708 | + | 5.21359i | −0.866931 | + | 1.06422i | ||||
\(25\) | 3.68168 | + | 2.12562i | 0.736336 | + | 0.425124i | ||||
\(26\) | 0.304946 | + | 0.599929i | 0.0598049 | + | 0.117656i | ||||
\(27\) | −0.584366 | + | 0.584366i | −0.112461 | + | 0.112461i | ||||
\(28\) | 4.77572 | − | 2.27870i | 0.902526 | − | 0.430635i | ||||
\(29\) | 4.81700 | + | 4.81700i | 0.894494 | + | 0.894494i | 0.994942 | − | 0.100448i | \(-0.0320277\pi\) |
−0.100448 | + | 0.994942i | \(0.532028\pi\) | |||||||
\(30\) | 2.76613 | + | 0.901739i | 0.505023 | + | 0.164634i | ||||
\(31\) | −1.84955 | + | 3.20351i | −0.332188 | + | 0.575367i | −0.982941 | − | 0.183923i | \(-0.941120\pi\) |
0.650752 | + | 0.759290i | \(0.274454\pi\) | |||||||
\(32\) | 5.65679 | + | 0.0274552i | 0.999988 | + | 0.00485344i | ||||
\(33\) | −4.33387 | + | 2.50216i | −0.754429 | + | 0.435570i | ||||
\(34\) | −0.0593522 | + | 0.0533367i | −0.0101788 | + | 0.00914717i | ||||
\(35\) | −1.66394 | − | 1.57246i | −0.281257 | − | 0.265794i | ||||
\(36\) | −5.27465 | − | 0.564743i | −0.879108 | − | 0.0941239i | ||||
\(37\) | 3.27008 | + | 0.876214i | 0.537597 | + | 0.144049i | 0.517394 | − | 0.855747i | \(-0.326902\pi\) |
0.0202030 | + | 0.999796i | \(0.493569\pi\) | |||||||
\(38\) | −9.69208 | − | 6.30749i | −1.57226 | − | 1.02321i | ||||
\(39\) | −0.565687 | + | 0.979798i | −0.0905824 | + | 0.156893i | ||||
\(40\) | −0.870436 | − | 2.28745i | −0.137628 | − | 0.361678i | ||||
\(41\) | −4.95983 | −0.774596 | −0.387298 | − | 0.921955i | \(-0.626592\pi\) | ||||
−0.387298 | + | 0.921955i | \(0.626592\pi\) | |||||||
\(42\) | 7.58998 | + | 4.63959i | 1.17116 | + | 0.715904i | ||||
\(43\) | 4.99825 | + | 4.99825i | 0.762225 | + | 0.762225i | 0.976724 | − | 0.214499i | \(-0.0688118\pi\) |
−0.214499 | + | 0.976724i | \(0.568812\pi\) | |||||||
\(44\) | 3.92722 | + | 1.51627i | 0.592051 | + | 0.228587i | ||||
\(45\) | 0.594027 | + | 2.21694i | 0.0885524 | + | 0.330482i | ||||
\(46\) | −9.95673 | + | 2.10627i | −1.46804 | + | 0.310552i | ||||
\(47\) | −5.50377 | − | 9.53281i | −0.802807 | − | 1.39050i | −0.917761 | − | 0.397132i | \(-0.870005\pi\) |
0.114954 | − | 0.993371i | \(-0.463328\pi\) | |||||||
\(48\) | 5.14846 | + | 7.99573i | 0.743116 | + | 1.15408i | ||||
\(49\) | −3.83684 | − | 5.85480i | −0.548120 | − | 0.836399i | ||||
\(50\) | 4.47181 | − | 4.01858i | 0.632409 | − | 0.568313i | ||||
\(51\) | −0.129577 | − | 0.0347202i | −0.0181445 | − | 0.00486179i | ||||
\(52\) | 0.940313 | − | 0.147060i | 0.130398 | − | 0.0203936i | ||||
\(53\) | −0.971464 | − | 3.62555i | −0.133441 | − | 0.498008i | 0.866559 | − | 0.499075i | \(-0.166327\pi\) |
−0.999999 | + | 0.00106745i | \(0.999660\pi\) | |||||||
\(54\) | 0.529582 | + | 1.04186i | 0.0720670 | + | 0.141780i | ||||
\(55\) | − | 1.82138i | − | 0.245595i | ||||||
\(56\) | −0.970582 | − | 7.42011i | −0.129700 | − | 0.991553i | ||||
\(57\) | − | 19.4402i | − | 2.57492i | ||||||
\(58\) | 8.58819 | − | 4.36541i | 1.12768 | − | 0.573206i | ||||
\(59\) | −2.27632 | − | 8.49533i | −0.296351 | − | 1.10600i | −0.940138 | − | 0.340793i | \(-0.889305\pi\) |
0.643787 | − | 0.765204i | \(-0.277362\pi\) | |||||||
\(60\) | 2.42491 | − | 3.32401i | 0.313054 | − | 0.429127i | ||||
\(61\) | 6.21929 | + | 1.66645i | 0.796298 | + | 0.213367i | 0.633958 | − | 0.773367i | \(-0.281429\pi\) |
0.162340 | + | 0.986735i | \(0.448096\pi\) | |||||||
\(62\) | 3.49665 | + | 3.89102i | 0.444075 | + | 0.494160i | ||||
\(63\) | 0.198278 | + | 7.01478i | 0.0249807 | + | 0.883779i | ||||
\(64\) | 2.51641 | − | 7.59393i | 0.314551 | − | 0.949241i | ||||
\(65\) | −0.205888 | − | 0.356609i | −0.0255373 | − | 0.0442319i | ||||
\(66\) | 1.46471 | + | 6.92395i | 0.180293 | + | 0.852279i | ||||
\(67\) | 2.80281 | + | 10.4602i | 0.342417 | + | 1.27792i | 0.895601 | + | 0.444859i | \(0.146746\pi\) |
−0.553184 | + | 0.833059i | \(0.686587\pi\) | |||||||
\(68\) | 0.0456997 | + | 0.103182i | 0.00554191 | + | 0.0125126i | ||||
\(69\) | −12.0979 | − | 12.0979i | −1.45641 | − | 1.45641i | ||||
\(70\) | −2.84363 | + | 1.54804i | −0.339879 | + | 0.185027i | ||||
\(71\) | −13.1246 | −1.55760 | −0.778800 | − | 0.627272i | \(-0.784171\pi\) | ||||
−0.778800 | + | 0.627272i | \(0.784171\pi\) | |||||||
\(72\) | −3.07133 | + | 6.84460i | −0.361960 | + | 0.806644i | ||||
\(73\) | −2.69592 | + | 4.66948i | −0.315534 | + | 0.546521i | −0.979551 | − | 0.201197i | \(-0.935517\pi\) |
0.664017 | + | 0.747718i | \(0.268850\pi\) | |||||||
\(74\) | 2.61148 | − | 4.01279i | 0.303578 | − | 0.466477i | ||||
\(75\) | 9.76283 | + | 2.61594i | 1.12731 | + | 0.302063i | ||||
\(76\) | −12.7291 | + | 10.2670i | −1.46013 | + | 1.17770i | ||||
\(77\) | 1.28880 | − | 5.41782i | 0.146873 | − | 0.617418i | ||||
\(78\) | 1.06946 | + | 1.19007i | 0.121092 | + | 0.134749i | ||||
\(79\) | 4.99619 | − | 2.88455i | 0.562116 | − | 0.324538i | −0.191878 | − | 0.981419i | \(-0.561458\pi\) |
0.753994 | + | 0.656881i | \(0.228125\pi\) | |||||||
\(80\) | −3.45717 | + | 0.167725i | −0.386524 | + | 0.0187522i | ||||
\(81\) | −4.96099 | + | 8.59269i | −0.551221 | + | 0.954743i | ||||
\(82\) | −2.17400 | + | 6.66886i | −0.240078 | + | 0.736452i | ||||
\(83\) | 4.52860 | + | 4.52860i | 0.497079 | + | 0.497079i | 0.910527 | − | 0.413449i | \(-0.135676\pi\) |
−0.413449 | + | 0.910527i | \(0.635676\pi\) | |||||||
\(84\) | 9.56511 | − | 8.17164i | 1.04364 | − | 0.891599i | ||||
\(85\) | 0.0345244 | − | 0.0345244i | 0.00374469 | − | 0.00374469i | ||||
\(86\) | 8.91134 | − | 4.52966i | 0.960935 | − | 0.488446i | ||||
\(87\) | 14.0261 | + | 8.09800i | 1.50376 | + | 0.868197i | ||||
\(88\) | 3.76013 | − | 4.61582i | 0.400831 | − | 0.492048i | ||||
\(89\) | 1.28218 | + | 2.22080i | 0.135911 | + | 0.235404i | 0.925945 | − | 0.377659i | \(-0.123271\pi\) |
−0.790034 | + | 0.613063i | \(0.789937\pi\) | |||||||
\(90\) | 3.24121 | + | 0.173020i | 0.341654 | + | 0.0182379i | ||||
\(91\) | −0.360094 | − | 1.20644i | −0.0377481 | − | 0.126470i | ||||
\(92\) | −1.53222 | + | 14.3108i | −0.159745 | + | 1.49200i | ||||
\(93\) | −2.27619 | + | 8.49484i | −0.236030 | + | 0.880874i | ||||
\(94\) | −15.2300 | + | 3.22178i | −1.57085 | + | 0.332301i | ||||
\(95\) | 6.12755 | + | 3.53774i | 0.628673 | + | 0.362965i | ||||
\(96\) | 13.0075 | − | 3.41778i | 1.32757 | − | 0.348825i | ||||
\(97\) | − | 9.06313i | − | 0.920222i | −0.887861 | − | 0.460111i | \(-0.847810\pi\) | ||
0.887861 | − | 0.460111i | \(-0.152190\pi\) | |||||||
\(98\) | −9.55397 | + | 2.59263i | −0.965096 | + | 0.261895i | ||||
\(99\) | −3.94777 | + | 3.94777i | −0.396766 | + | 0.396766i | ||||
\(100\) | −3.44318 | − | 7.77410i | −0.344318 | − | 0.777410i | ||||
\(101\) | 9.27207 | − | 2.48444i | 0.922605 | − | 0.247211i | 0.233907 | − | 0.972259i | \(-0.424849\pi\) |
0.688699 | + | 0.725048i | \(0.258182\pi\) | |||||||
\(102\) | −0.103480 | + | 0.159008i | −0.0102461 | + | 0.0157441i | ||||
\(103\) | −1.18973 | + | 0.686893i | −0.117228 | + | 0.0676816i | −0.557467 | − | 0.830199i | \(-0.688227\pi\) |
0.440239 | + | 0.897880i | \(0.354894\pi\) | |||||||
\(104\) | 0.214426 | − | 1.32878i | 0.0210262 | − | 0.130297i | ||||
\(105\) | −4.78878 | − | 2.58722i | −0.467337 | − | 0.252487i | ||||
\(106\) | −5.30063 | − | 0.282954i | −0.514843 | − | 0.0274829i | ||||
\(107\) | −3.62137 | + | 13.5151i | −0.350091 | + | 1.30656i | 0.536459 | + | 0.843926i | \(0.319761\pi\) |
−0.886551 | + | 0.462632i | \(0.846905\pi\) | |||||||
\(108\) | 1.63299 | − | 0.255391i | 0.157134 | − | 0.0245750i | ||||
\(109\) | −2.68896 | + | 0.720506i | −0.257556 | + | 0.0690119i | −0.385287 | − | 0.922797i | \(-0.625897\pi\) |
0.127731 | + | 0.991809i | \(0.459231\pi\) | |||||||
\(110\) | −2.44898 | − | 0.798349i | −0.233501 | − | 0.0761196i | ||||
\(111\) | 8.04879 | 0.763957 | ||||||||
\(112\) | −10.4023 | − | 1.94737i | −0.982924 | − | 0.184009i | ||||
\(113\) | 6.74317 | 0.634344 | 0.317172 | − | 0.948368i | \(-0.397267\pi\) | ||||
0.317172 | + | 0.948368i | \(0.397267\pi\) | |||||||
\(114\) | −26.1388 | − | 8.52106i | −2.44812 | − | 0.798070i | ||||
\(115\) | 6.01483 | − | 1.61167i | 0.560886 | − | 0.150289i | ||||
\(116\) | −2.10522 | − | 13.4609i | −0.195464 | − | 1.24981i | ||||
\(117\) | −0.326681 | + | 1.21919i | −0.0302017 | + | 0.112714i | ||||
\(118\) | −12.4203 | − | 0.663012i | −1.14338 | − | 0.0610352i | ||||
\(119\) | 0.127125 | − | 0.0782659i | 0.0116535 | − | 0.00717463i | ||||
\(120\) | −3.40648 | − | 4.71744i | −0.310968 | − | 0.430642i | ||||
\(121\) | −5.68931 | + | 3.28473i | −0.517210 | + | 0.298612i | ||||
\(122\) | 4.96671 | − | 7.63184i | 0.449665 | − | 0.690954i | ||||
\(123\) | −11.3901 | + | 3.05197i | −1.02701 | + | 0.275187i | ||||
\(124\) | 6.76441 | − | 2.99599i | 0.607462 | − | 0.269048i | ||||
\(125\) | −5.66052 | + | 5.66052i | −0.506293 | + | 0.506293i | ||||
\(126\) | 9.51879 | + | 2.80813i | 0.848001 | + | 0.250168i | ||||
\(127\) | 8.62463i | 0.765312i | 0.923891 | + | 0.382656i | \(0.124991\pi\) | ||||
−0.923891 | + | 0.382656i | \(0.875009\pi\) | |||||||
\(128\) | −9.10759 | − | 6.71207i | −0.805004 | − | 0.593269i | ||||
\(129\) | 14.5539 | + | 8.40270i | 1.28140 | + | 0.739817i | ||||
\(130\) | −0.569731 | + | 0.120522i | −0.0499688 | + | 0.0105705i | ||||
\(131\) | −1.39401 | + | 5.20253i | −0.121796 | + | 0.454547i | −0.999705 | − | 0.0242790i | \(-0.992271\pi\) |
0.877910 | + | 0.478826i | \(0.158938\pi\) | |||||||
\(132\) | 9.95176 | + | 1.06551i | 0.866189 | + | 0.0927407i | ||||
\(133\) | 15.7235 | + | 14.8591i | 1.36340 | + | 1.28845i | ||||
\(134\) | 15.2930 | + | 0.816361i | 1.32112 | + | 0.0705228i | ||||
\(135\) | −0.357554 | − | 0.619302i | −0.0307734 | − | 0.0533010i | ||||
\(136\) | 0.158767 | − | 0.0162198i | 0.0136141 | − | 0.00139083i | ||||
\(137\) | 9.31969 | + | 5.38073i | 0.796235 | + | 0.459707i | 0.842153 | − | 0.539239i | \(-0.181288\pi\) |
−0.0459178 | + | 0.998945i | \(0.514621\pi\) | |||||||
\(138\) | −21.5692 | + | 10.9637i | −1.83609 | + | 0.933293i | ||||
\(139\) | 13.2045 | − | 13.2045i | 1.11999 | − | 1.11999i | 0.128251 | − | 0.991742i | \(-0.459064\pi\) |
0.991742 | − | 0.128251i | \(-0.0409362\pi\) | |||||||
\(140\) | 0.835035 | + | 4.50200i | 0.0705733 | + | 0.380489i | ||||
\(141\) | −18.5051 | − | 18.5051i | −1.55841 | − | 1.55841i | ||||
\(142\) | −5.75278 | + | 17.6469i | −0.482763 | + | 1.48090i | ||||
\(143\) | 0.500828 | − | 0.867459i | 0.0418813 | − | 0.0725406i | ||||
\(144\) | 7.85684 | + | 7.12976i | 0.654736 | + | 0.594147i | ||||
\(145\) | −5.10498 | + | 2.94736i | −0.423945 | + | 0.244765i | ||||
\(146\) | 5.09677 | + | 5.67160i | 0.421812 | + | 0.469385i | ||||
\(147\) | −12.4138 | − | 11.0844i | −1.02388 | − | 0.914225i | ||||
\(148\) | −4.25082 | − | 5.27021i | −0.349415 | − | 0.433209i | ||||
\(149\) | −3.90087 | − | 1.04523i | −0.319571 | − | 0.0856289i | 0.0954676 | − | 0.995433i | \(-0.469565\pi\) |
−0.415039 | + | 0.909804i | \(0.636232\pi\) | |||||||
\(150\) | 7.79658 | − | 11.9802i | 0.636588 | − | 0.978179i | ||||
\(151\) | 3.94869 | − | 6.83934i | 0.321340 | − | 0.556577i | −0.659425 | − | 0.751771i | \(-0.729200\pi\) |
0.980765 | + | 0.195193i | \(0.0625334\pi\) | |||||||
\(152\) | 8.22526 | + | 21.6155i | 0.667157 | + | 1.75325i | ||||
\(153\) | −0.149661 | −0.0120993 | ||||||||
\(154\) | −6.71975 | − | 4.10763i | −0.541492 | − | 0.331003i | ||||
\(155\) | −2.26335 | − | 2.26335i | −0.181797 | − | 0.181797i | ||||
\(156\) | 2.06891 | − | 0.916327i | 0.165645 | − | 0.0733649i | ||||
\(157\) | −4.18229 | − | 15.6085i | −0.333783 | − | 1.24570i | −0.905182 | − | 0.425023i | \(-0.860266\pi\) |
0.571399 | − | 0.820672i | \(-0.306401\pi\) | |||||||
\(158\) | −1.68855 | − | 7.98211i | −0.134334 | − | 0.635022i | ||||
\(159\) | −4.46187 | − | 7.72818i | −0.353849 | − | 0.612885i | ||||
\(160\) | −1.28983 | + | 4.72194i | −0.101970 | + | 0.373302i | ||||
\(161\) | 19.0320 | − | 0.537953i | 1.49993 | − | 0.0423966i | ||||
\(162\) | 9.37898 | + | 10.4368i | 0.736882 | + | 0.819990i | ||||
\(163\) | −2.99018 | − | 0.801215i | −0.234209 | − | 0.0627560i | 0.139806 | − | 0.990179i | \(-0.455352\pi\) |
−0.374014 | + | 0.927423i | \(0.622019\pi\) | |||||||
\(164\) | 8.01385 | + | 5.84620i | 0.625776 | + | 0.456512i | ||||
\(165\) | −1.12076 | − | 4.18274i | −0.0872511 | − | 0.325626i | ||||
\(166\) | 8.07402 | − | 4.10405i | 0.626666 | − | 0.318536i | ||||
\(167\) | 5.62954i | 0.435627i | 0.975990 | + | 0.217813i | \(0.0698924\pi\) | ||||
−0.975990 | + | 0.217813i | \(0.930108\pi\) | |||||||
\(168\) | −6.79477 | − | 16.4428i | −0.524228 | − | 1.26859i | ||||
\(169\) | 12.7735i | 0.982580i | ||||||||
\(170\) | −0.0312877 | − | 0.0615533i | −0.00239966 | − | 0.00472092i | ||||
\(171\) | −5.61331 | − | 20.9492i | −0.429261 | − | 1.60202i | ||||
\(172\) | −2.18443 | − | 13.9674i | −0.166561 | − | 1.06500i | ||||
\(173\) | 1.69727 | + | 0.454783i | 0.129041 | + | 0.0345765i | 0.322762 | − | 0.946480i | \(-0.395389\pi\) |
−0.193720 | + | 0.981057i | \(0.562055\pi\) | |||||||
\(174\) | 17.0363 | − | 15.3096i | 1.29152 | − | 1.16062i | ||||
\(175\) | −9.57802 | + | 5.89684i | −0.724030 | + | 0.445759i | ||||
\(176\) | −4.55816 | − | 7.07898i | −0.343584 | − | 0.533598i | ||||
\(177\) | −10.4550 | − | 18.1085i | −0.785843 | − | 1.36112i | ||||
\(178\) | 3.54803 | − | 0.750558i | 0.265936 | − | 0.0562567i | ||||
\(179\) | −1.98267 | − | 7.39942i | −0.148192 | − | 0.553059i | −0.999593 | − | 0.0285433i | \(-0.990913\pi\) |
0.851401 | − | 0.524515i | \(-0.175754\pi\) | |||||||
\(180\) | 1.65333 | − | 4.28220i | 0.123232 | − | 0.319177i | ||||
\(181\) | −0.00448004 | − | 0.00448004i | −0.000332999 | − | 0.000332999i | 0.706940 | − | 0.707273i | \(-0.250075\pi\) |
−0.707273 | + | 0.706940i | \(0.750075\pi\) | |||||||
\(182\) | −1.77999 | − | 0.0446378i | −0.131942 | − | 0.00330877i | ||||
\(183\) | 15.3078 | 1.13159 | ||||||||
\(184\) | 18.5702 | + | 8.33289i | 1.36902 | + | 0.614309i | ||||
\(185\) | −1.46472 | + | 2.53698i | −0.107689 | + | 0.186522i | ||||
\(186\) | 10.4242 | + | 6.78397i | 0.764342 | + | 0.497425i | ||||
\(187\) | 0.114721 | + | 0.0307393i | 0.00838920 | + | 0.00224788i | ||||
\(188\) | −2.34370 | + | 21.8900i | −0.170932 | + | 1.59649i | ||||
\(189\) | −0.625355 | − | 2.09516i | −0.0454879 | − | 0.152401i | ||||
\(190\) | 7.44259 | − | 6.68826i | 0.539942 | − | 0.485218i | ||||
\(191\) | 13.3381 | − | 7.70073i | 0.965108 | − | 0.557206i | 0.0673669 | − | 0.997728i | \(-0.478540\pi\) |
0.897741 | + | 0.440523i | \(0.145207\pi\) | |||||||
\(192\) | 1.10603 | − | 18.9876i | 0.0798205 | − | 1.37031i | ||||
\(193\) | 0.775325 | − | 1.34290i | 0.0558091 | − | 0.0966642i | −0.836771 | − | 0.547553i | \(-0.815560\pi\) |
0.892580 | + | 0.450889i | \(0.148893\pi\) | |||||||
\(194\) | −12.1860 | − | 3.97256i | −0.874906 | − | 0.285214i | ||||
\(195\) | −0.692250 | − | 0.692250i | −0.0495730 | − | 0.0495730i | ||||
\(196\) | −0.701731 | + | 13.9824i | −0.0501236 | + | 0.998743i | ||||
\(197\) | 1.05178 | − | 1.05178i | 0.0749363 | − | 0.0749363i | −0.668645 | − | 0.743582i | \(-0.733126\pi\) |
0.743582 | + | 0.668645i | \(0.233126\pi\) | |||||||
\(198\) | 3.57767 | + | 7.03846i | 0.254254 | + | 0.500201i | ||||
\(199\) | 10.9631 | + | 6.32954i | 0.777152 | + | 0.448689i | 0.835420 | − | 0.549612i | \(-0.185224\pi\) |
−0.0582680 | + | 0.998301i | \(0.518558\pi\) | |||||||
\(200\) | −11.9621 | + | 1.22205i | −0.845845 | + | 0.0864123i | ||||
\(201\) | 12.8731 | + | 22.2969i | 0.907998 | + | 1.57270i | ||||
\(202\) | 0.723633 | − | 13.5559i | 0.0509146 | − | 0.953793i | ||||
\(203\) | −17.2707 | + | 5.15487i | −1.21216 | + | 0.361801i | ||||
\(204\) | 0.168440 | + | 0.208833i | 0.0117931 | + | 0.0146212i | ||||
\(205\) | 1.11080 | − | 4.14556i | 0.0775815 | − | 0.289538i | ||||
\(206\) | 0.402092 | + | 1.90076i | 0.0280151 | + | 0.132432i | ||||
\(207\) | −16.5302 | − | 9.54369i | −1.14893 | − | 0.663332i | ||||
\(208\) | −1.69265 | − | 0.870743i | −0.117364 | − | 0.0603752i | ||||
\(209\) | 17.2113i | 1.19053i | ||||||||
\(210\) | −5.57773 | + | 5.30482i | −0.384900 | + | 0.366067i | ||||
\(211\) | 0.830513 | − | 0.830513i | 0.0571749 | − | 0.0571749i | −0.677941 | − | 0.735116i | \(-0.737128\pi\) |
0.735116 | + | 0.677941i | \(0.237128\pi\) | |||||||
\(212\) | −2.70383 | + | 7.00305i | −0.185700 | + | 0.480972i | ||||
\(213\) | −30.1402 | + | 8.07603i | −2.06517 | + | 0.553360i | ||||
\(214\) | 16.5848 | + | 10.7932i | 1.13371 | + | 0.737806i | ||||
\(215\) | −5.29706 | + | 3.05826i | −0.361257 | + | 0.208572i | ||||
\(216\) | 0.372382 | − | 2.30761i | 0.0253374 | − | 0.157013i | ||||
\(217\) | −5.13096 | − | 8.33404i | −0.348313 | − | 0.565752i | ||||
\(218\) | −0.209859 | + | 3.93132i | −0.0142134 | + | 0.266263i | ||||
\(219\) | −3.31780 | + | 12.3822i | −0.224196 | + | 0.836712i | ||||
\(220\) | −2.14688 | + | 2.94289i | −0.144742 | + | 0.198410i | ||||
\(221\) | 0.0259360 | − | 0.00694952i | 0.00174464 | − | 0.000467476i | ||||
\(222\) | 3.52796 | − | 10.8222i | 0.236781 | − | 0.726337i | ||||
\(223\) | −4.19686 | −0.281043 | −0.140521 | − | 0.990078i | \(-0.544878\pi\) | ||||
−0.140521 | + | 0.990078i | \(0.544878\pi\) | |||||||
\(224\) | −7.17793 | + | 13.1331i | −0.479596 | + | 0.877490i | ||||
\(225\) | 11.2760 | 0.751731 | ||||||||
\(226\) | 2.95568 | − | 9.06668i | 0.196609 | − | 0.603107i | ||||
\(227\) | −12.4236 | + | 3.32889i | −0.824583 | + | 0.220946i | −0.646349 | − | 0.763042i | \(-0.723705\pi\) |
−0.178234 | + | 0.983988i | \(0.557038\pi\) | |||||||
\(228\) | −22.9144 | + | 31.4105i | −1.51754 | + | 2.08021i | ||||
\(229\) | 5.23675 | − | 19.5438i | 0.346054 | − | 1.29149i | −0.545322 | − | 0.838227i | \(-0.683592\pi\) |
0.891376 | − | 0.453265i | \(-0.149741\pi\) | |||||||
\(230\) | 0.469424 | − | 8.79380i | 0.0309529 | − | 0.579846i | ||||
\(231\) | −0.374094 | − | 13.2349i | −0.0246136 | − | 0.870792i | ||||
\(232\) | −19.0219 | − | 3.06958i | −1.24885 | − | 0.201528i | ||||
\(233\) | −19.8589 | + | 11.4655i | −1.30100 | + | 0.751132i | −0.980575 | − | 0.196143i | \(-0.937158\pi\) |
−0.320423 | + | 0.947275i | \(0.603825\pi\) | |||||||
\(234\) | 1.49610 | + | 0.973645i | 0.0978031 | + | 0.0636491i | ||||
\(235\) | 9.20038 | − | 2.46523i | 0.600167 | − | 0.160814i | ||||
\(236\) | −6.33557 | + | 16.4094i | −0.412410 | + | 1.06816i | ||||
\(237\) | 9.69862 | − | 9.69862i | 0.629993 | − | 0.629993i | ||||
\(238\) | −0.0495128 | − | 0.205234i | −0.00320944 | − | 0.0133033i | ||||
\(239\) | 5.12967i | 0.331811i | 0.986142 | + | 0.165905i | \(0.0530546\pi\) | ||||
−0.986142 | + | 0.165905i | \(0.946945\pi\) | |||||||
\(240\) | −7.83608 | + | 2.51250i | −0.505817 | + | 0.162181i | ||||
\(241\) | −14.6795 | − | 8.47521i | −0.945589 | − | 0.545936i | −0.0538810 | − | 0.998547i | \(-0.517159\pi\) |
−0.891708 | + | 0.452611i | \(0.850492\pi\) | |||||||
\(242\) | 1.92280 | + | 9.08946i | 0.123603 | + | 0.584293i | ||||
\(243\) | −5.46368 | + | 20.3907i | −0.350495 | + | 1.30807i | ||||
\(244\) | −8.08454 | − | 10.0233i | −0.517560 | − | 0.641676i | ||||
\(245\) | 5.75288 | − | 1.89570i | 0.367538 | − | 0.121112i | ||||
\(246\) | −0.888933 | + | 16.6525i | −0.0566763 | + | 1.06173i | ||||
\(247\) | 1.94556 | + | 3.36981i | 0.123793 | + | 0.214416i | ||||
\(248\) | −1.06334 | − | 10.4084i | −0.0675219 | − | 0.660937i | ||||
\(249\) | 13.1864 | + | 7.61317i | 0.835654 | + | 0.482465i | ||||
\(250\) | 5.12985 | + | 10.0921i | 0.324440 | + | 0.638281i | ||||
\(251\) | −1.63771 | + | 1.63771i | −0.103371 | + | 0.103371i | −0.756901 | − | 0.653530i | \(-0.773288\pi\) |
0.653530 | + | 0.756901i | \(0.273288\pi\) | |||||||
\(252\) | 7.94802 | − | 11.5678i | 0.500678 | − | 0.728705i | ||||
\(253\) | 10.7108 | + | 10.7108i | 0.673381 | + | 0.673381i | ||||
\(254\) | 11.5964 | + | 3.78036i | 0.727625 | + | 0.237201i | ||||
\(255\) | 0.0580400 | − | 0.100528i | 0.00363460 | − | 0.00629532i | ||||
\(256\) | −13.0169 | + | 9.30376i | −0.813557 | + | 0.581485i | ||||
\(257\) | −7.00954 | + | 4.04696i | −0.437243 | + | 0.252443i | −0.702428 | − | 0.711755i | \(-0.747901\pi\) |
0.265184 | + | 0.964198i | \(0.414567\pi\) | |||||||
\(258\) | 17.6773 | − | 15.8857i | 1.10054 | − | 0.989000i | ||||
\(259\) | −6.15208 | + | 6.50999i | −0.382272 | + | 0.404511i | ||||
\(260\) | −0.0876746 | + | 0.818873i | −0.00543735 | + | 0.0507843i | ||||
\(261\) | 17.4531 | + | 4.67656i | 1.08032 | + | 0.289472i | ||||
\(262\) | 6.38415 | + | 4.15473i | 0.394414 | + | 0.256680i | ||||
\(263\) | 7.41829 | − | 12.8489i | 0.457431 | − | 0.792295i | −0.541393 | − | 0.840770i | \(-0.682103\pi\) |
0.998824 | + | 0.0484751i | \(0.0154362\pi\) | |||||||
\(264\) | 5.79472 | − | 12.9138i | 0.356641 | − | 0.794791i | ||||
\(265\) | 3.24790 | 0.199517 | ||||||||
\(266\) | 26.8711 | − | 14.6284i | 1.64757 | − | 0.896923i | ||||
\(267\) | 4.31102 | + | 4.31102i | 0.263830 | + | 0.263830i | ||||
\(268\) | 7.80092 | − | 20.2048i | 0.476517 | − | 1.23420i | ||||
\(269\) | −0.0627208 | − | 0.234077i | −0.00382415 | − | 0.0142719i | 0.963987 | − | 0.265948i | \(-0.0856849\pi\) |
−0.967812 | + | 0.251676i | \(0.919018\pi\) | |||||||
\(270\) | −0.989420 | + | 0.209304i | −0.0602142 | + | 0.0127378i | ||||
\(271\) | −11.2144 | − | 19.4240i | −0.681229 | − | 1.17992i | −0.974606 | − | 0.223926i | \(-0.928113\pi\) |
0.293377 | − | 0.955997i | \(-0.405221\pi\) | |||||||
\(272\) | 0.0477822 | − | 0.220583i | 0.00289722 | − | 0.0133748i | ||||
\(273\) | −1.56931 | − | 2.54898i | −0.0949792 | − | 0.154271i | ||||
\(274\) | 11.3198 | − | 10.1725i | 0.683854 | − | 0.614544i | ||||
\(275\) | −8.64346 | − | 2.31601i | −0.521221 | − | 0.139661i | ||||
\(276\) | 5.28725 | + | 33.8070i | 0.318255 | + | 2.03494i | ||||
\(277\) | 5.03722 | + | 18.7992i | 0.302657 | + | 1.12953i | 0.934943 | + | 0.354797i | \(0.115450\pi\) |
−0.632286 | + | 0.774735i | \(0.717883\pi\) | |||||||
\(278\) | −11.9666 | − | 23.5422i | −0.717709 | − | 1.41197i | ||||
\(279\) | 9.81146i | 0.587397i | ||||||||
\(280\) | 6.41928 | + | 0.850560i | 0.383626 | + | 0.0508307i | ||||
\(281\) | − | 12.3856i | − | 0.738865i | −0.929258 | − | 0.369432i | \(-0.879552\pi\) | ||
0.929258 | − | 0.369432i | \(-0.120448\pi\) | |||||||
\(282\) | −32.9926 | + | 16.7703i | −1.96468 | + | 0.998655i | ||||
\(283\) | 0.977993 | + | 3.64992i | 0.0581357 | + | 0.216965i | 0.988883 | − | 0.148699i | \(-0.0475085\pi\) |
−0.930747 | + | 0.365664i | \(0.880842\pi\) | |||||||
\(284\) | 21.2060 | + | 15.4701i | 1.25835 | + | 0.917979i | ||||
\(285\) | 16.2486 | + | 4.35380i | 0.962485 | + | 0.257897i | ||||
\(286\) | −0.946838 | − | 1.05362i | −0.0559877 | − | 0.0623021i | ||||
\(287\) | 6.23753 | − | 11.5453i | 0.368190 | − | 0.681495i | ||||
\(288\) | 13.0303 | − | 7.43896i | 0.767818 | − | 0.438345i | ||||
\(289\) | −8.49841 | − | 14.7197i | −0.499906 | − | 0.865863i | ||||
\(290\) | 1.72532 | + | 8.15590i | 0.101314 | + | 0.478931i | ||||
\(291\) | −5.57687 | − | 20.8132i | −0.326922 | − | 1.22009i | ||||
\(292\) | 9.85990 | − | 4.36699i | 0.577007 | − | 0.255559i | ||||
\(293\) | 2.83797 | + | 2.83797i | 0.165796 | + | 0.165796i | 0.785129 | − | 0.619333i | \(-0.212597\pi\) |
−0.619333 | + | 0.785129i | \(0.712597\pi\) | |||||||
\(294\) | −20.3450 | + | 11.8328i | −1.18655 | + | 0.690102i | ||||
\(295\) | 7.61041 | 0.443095 | ||||||||
\(296\) | −8.94941 | + | 3.40549i | −0.520174 | + | 0.197940i | ||||
\(297\) | 0.869758 | − | 1.50647i | 0.0504685 | − | 0.0874140i | ||||
\(298\) | −3.11522 | + | 4.78685i | −0.180460 | + | 0.277295i | ||||
\(299\) | 3.30782 | + | 0.886326i | 0.191296 | + | 0.0512576i | ||||
\(300\) | −12.6908 | − | 15.7342i | −0.732706 | − | 0.908417i | ||||
\(301\) | −17.9205 | + | 5.34883i | −1.03292 | + | 0.308302i | ||||
\(302\) | −7.46518 | − | 8.30713i | −0.429573 | − | 0.478022i | ||||
\(303\) | 19.7642 | − | 11.4109i | 1.13542 | − | 0.655538i | ||||
\(304\) | 32.6689 | − | 1.58493i | 1.87369 | − | 0.0909022i | ||||
\(305\) | −2.78573 | + | 4.82502i | −0.159510 | + | 0.276280i | ||||
\(306\) | −0.0655995 | + | 0.201230i | −0.00375007 | + | 0.0115035i | ||||
\(307\) | 17.5282 | + | 17.5282i | 1.00038 | + | 1.00038i | 1.00000 | 0.000384595i | \(0.000122420\pi\) | |
0.000384595 | 1.00000i | \(0.499878\pi\) | ||||||||
\(308\) | −8.46842 | + | 7.23472i | −0.482533 | + | 0.412236i | ||||
\(309\) | −2.30951 | + | 2.30951i | −0.131384 | + | 0.131384i | ||||
\(310\) | −4.03532 | + | 2.05116i | −0.229191 | + | 0.116498i | ||||
\(311\) | −19.4160 | − | 11.2098i | −1.10098 | − | 0.635651i | −0.164502 | − | 0.986377i | \(-0.552602\pi\) |
−0.936478 | + | 0.350725i | \(0.885935\pi\) | |||||||
\(312\) | −0.325223 | − | 3.18344i | −0.0184121 | − | 0.180227i | ||||
\(313\) | −3.86930 | − | 6.70183i | −0.218706 | − | 0.378810i | 0.735707 | − | 0.677300i | \(-0.236850\pi\) |
−0.954413 | + | 0.298491i | \(0.903517\pi\) | |||||||
\(314\) | −22.8200 | − | 1.21816i | −1.28781 | − | 0.0687446i | ||||
\(315\) | −5.90754 | − | 1.40530i | −0.332852 | − | 0.0791794i | ||||
\(316\) | −11.4726 | − | 1.22835i | −0.645387 | − | 0.0690999i | ||||
\(317\) | −0.838356 | + | 3.12879i | −0.0470868 | + | 0.175730i | −0.985465 | − | 0.169881i | \(-0.945662\pi\) |
0.938378 | + | 0.345611i | \(0.112328\pi\) | |||||||
\(318\) | −12.3468 | + | 2.61188i | −0.692376 | + | 0.146467i | ||||
\(319\) | −12.4180 | − | 7.16952i | −0.695273 | − | 0.401416i | ||||
\(320\) | 5.78362 | + | 3.80400i | 0.323314 | + | 0.212650i | ||||
\(321\) | 33.2654i | 1.85669i | ||||||||
\(322\) | 7.61880 | − | 25.8256i | 0.424579 | − | 1.43921i | ||||
\(323\) | −0.326241 | + | 0.326241i | −0.0181525 | + | 0.0181525i | ||||
\(324\) | 18.1440 | − | 8.03606i | 1.00800 | − | 0.446448i | ||||
\(325\) | −1.95411 | + | 0.523602i | −0.108395 | + | 0.0290442i | ||||
\(326\) | −2.38795 | + | 3.66932i | −0.132256 | + | 0.203225i | ||||
\(327\) | −5.73176 | + | 3.30923i | −0.316967 | + | 0.183001i | ||||
\(328\) | 11.3733 | − | 8.21268i | 0.627985 | − | 0.453469i | ||||
\(329\) | 29.1116 | − | 0.822861i | 1.60497 | − | 0.0453658i | ||||
\(330\) | −6.11524 | − | 0.326439i | −0.336633 | − | 0.0179699i | ||||
\(331\) | 1.07762 | − | 4.02175i | 0.0592316 | − | 0.221055i | −0.929966 | − | 0.367647i | \(-0.880164\pi\) |
0.989197 | + | 0.146591i | \(0.0468303\pi\) | |||||||
\(332\) | −1.97918 | − | 12.6550i | −0.108621 | − | 0.694533i | ||||
\(333\) | 8.67354 | − | 2.32407i | 0.475307 | − | 0.127358i | ||||
\(334\) | 7.56932 | + | 2.46755i | 0.414175 | + | 0.135018i | ||||
\(335\) | −9.37062 | −0.511972 | ||||||||
\(336\) | −25.0868 | + | 1.92883i | −1.36860 | + | 0.105226i | ||||
\(337\) | −6.10926 | −0.332793 | −0.166396 | − | 0.986059i | \(-0.553213\pi\) | ||||
−0.166396 | + | 0.986059i | \(0.553213\pi\) | |||||||
\(338\) | 17.1750 | + | 5.59892i | 0.934194 | + | 0.304541i | ||||
\(339\) | 15.4855 | − | 4.14932i | 0.841055 | − | 0.225360i | ||||
\(340\) | −0.0964769 | + | 0.0150885i | −0.00523220 | + | 0.000818289i | ||||
\(341\) | 2.01521 | − | 7.52086i | 0.109130 | − | 0.407278i | ||||
\(342\) | −30.6281 | − | 1.63496i | −1.65618 | − | 0.0884087i | ||||
\(343\) | 18.4537 | − | 1.56817i | 0.996409 | − | 0.0846732i | ||||
\(344\) | −19.7376 | − | 3.18508i | −1.06418 | − | 0.171728i | ||||
\(345\) | 12.8211 | − | 7.40229i | 0.690267 | − | 0.398526i | ||||
\(346\) | 1.35544 | − | 2.08277i | 0.0728689 | − | 0.111970i | ||||
\(347\) | 30.0141 | − | 8.04225i | 1.61124 | − | 0.431730i | 0.662828 | − | 0.748772i | \(-0.269356\pi\) |
0.948412 | + | 0.317041i | \(0.102689\pi\) | |||||||
\(348\) | −13.1175 | − | 29.6171i | −0.703174 | − | 1.58764i | ||||
\(349\) | −5.02028 | + | 5.02028i | −0.268730 | + | 0.268730i | −0.828588 | − | 0.559859i | \(-0.810855\pi\) |
0.559859 | + | 0.828588i | \(0.310855\pi\) | |||||||
\(350\) | 3.73047 | + | 15.4631i | 0.199402 | + | 0.826535i | ||||
\(351\) | − | 0.393269i | − | 0.0209911i | ||||||
\(352\) | −11.5161 | + | 3.02591i | −0.613812 | + | 0.161282i | ||||
\(353\) | 19.5681 | + | 11.2977i | 1.04151 | + | 0.601314i | 0.920260 | − | 0.391308i | \(-0.127977\pi\) |
0.121247 | + | 0.992622i | \(0.461311\pi\) | |||||||
\(354\) | −28.9309 | + | 6.12010i | −1.53766 | + | 0.325280i | ||||
\(355\) | 2.93936 | − | 10.9699i | 0.156005 | − | 0.582219i | ||||
\(356\) | 0.545998 | − | 5.09957i | 0.0289378 | − | 0.270276i | ||||
\(357\) | 0.243777 | − | 0.257959i | 0.0129021 | − | 0.0136527i | ||||
\(358\) | −10.8181 | − | 0.577483i | −0.571755 | − | 0.0305209i | ||||
\(359\) | 5.80528 | + | 10.0550i | 0.306391 | + | 0.530684i | 0.977570 | − | 0.210611i | \(-0.0675452\pi\) |
−0.671179 | + | 0.741295i | \(0.734212\pi\) | |||||||
\(360\) | −5.03304 | − | 4.10000i | −0.265265 | − | 0.216089i | ||||
\(361\) | −41.4483 | − | 23.9302i | −2.18149 | − | 1.25948i | ||||
\(362\) | −0.00798744 | + | 0.00406004i | −0.000419811 | + | 0.000213391i | ||||
\(363\) | −11.0441 | + | 11.0441i | −0.579665 | + | 0.579665i | ||||
\(364\) | −0.840226 | + | 2.37376i | −0.0440398 | + | 0.124419i | ||||
\(365\) | −3.29909 | − | 3.29909i | −0.172682 | − | 0.172682i | ||||
\(366\) | 6.70974 | − | 20.5825i | 0.350724 | − | 1.07586i | ||||
\(367\) | −17.1290 | + | 29.6683i | −0.894126 | + | 1.54867i | −0.0592429 | + | 0.998244i | \(0.518869\pi\) |
−0.834883 | + | 0.550428i | \(0.814465\pi\) | |||||||
\(368\) | 19.3439 | − | 21.3166i | 1.00837 | − | 1.11120i | ||||
\(369\) | −11.3930 | + | 6.57772i | −0.593093 | + | 0.342423i | ||||
\(370\) | 2.76913 | + | 3.08144i | 0.143960 | + | 0.160196i | ||||
\(371\) | 9.66110 | + | 2.29820i | 0.501579 | + | 0.119317i | ||||
\(372\) | 13.6907 | − | 11.0426i | 0.709830 | − | 0.572531i | ||||
\(373\) | 24.2089 | + | 6.48675i | 1.25349 | + | 0.335871i | 0.823683 | − | 0.567050i | \(-0.191915\pi\) |
0.429805 | + | 0.902922i | \(0.358582\pi\) | |||||||
\(374\) | 0.0916157 | − | 0.140776i | 0.00473734 | − | 0.00727938i | ||||
\(375\) | −9.51608 | + | 16.4823i | −0.491408 | + | 0.851144i | ||||
\(376\) | 28.4053 | + | 12.7461i | 1.46489 | + | 0.657331i | ||||
\(377\) | −3.24176 | −0.166959 | ||||||||
\(378\) | −3.09120 | − | 0.0775199i | −0.158994 | − | 0.00398719i | ||||
\(379\) | −19.0292 | − | 19.0292i | −0.977466 | − | 0.977466i | 0.0222852 | − | 0.999752i | \(-0.492906\pi\) |
−0.999752 | + | 0.0222852i | \(0.992906\pi\) | |||||||
\(380\) | −5.73061 | − | 12.9387i | −0.293974 | − | 0.663741i | ||||
\(381\) | 5.30705 | + | 19.8062i | 0.271888 | + | 1.01470i | ||||
\(382\) | −4.50783 | − | 21.3094i | −0.230641 | − | 1.09028i | ||||
\(383\) | 11.3643 | + | 19.6836i | 0.580690 | + | 1.00578i | 0.995398 | + | 0.0958295i | \(0.0305503\pi\) |
−0.414708 | + | 0.909954i | \(0.636116\pi\) | |||||||
\(384\) | −25.0454 | − | 9.80982i | −1.27810 | − | 0.500605i | ||||
\(385\) | 4.23972 | + | 2.29058i | 0.216076 | + | 0.116739i | ||||
\(386\) | −1.46579 | − | 1.63110i | −0.0746066 | − | 0.0830209i | ||||
\(387\) | 18.1099 | + | 4.85252i | 0.920576 | + | 0.246667i | ||||
\(388\) | −10.6828 | + | 14.6437i | −0.542337 | + | 0.743423i | ||||
\(389\) | −6.98465 | − | 26.0671i | −0.354136 | − | 1.32165i | −0.881569 | − | 0.472056i | \(-0.843512\pi\) |
0.527433 | − | 0.849597i | \(-0.323155\pi\) | |||||||
\(390\) | −1.23421 | + | 0.627352i | −0.0624965 | + | 0.0317672i | ||||
\(391\) | 0.406048i | 0.0205347i | ||||||||
\(392\) | 18.4928 | + | 7.07231i | 0.934026 | + | 0.357206i | ||||
\(393\) | 12.8052i | 0.645938i | ||||||||
\(394\) | −0.953178 | − | 1.87521i | −0.0480204 | − | 0.0944719i | ||||
\(395\) | 1.29204 | + | 4.82197i | 0.0650097 | + | 0.242620i | ||||
\(396\) | 11.0319 | − | 1.72533i | 0.554373 | − | 0.0867012i | ||||
\(397\) | −24.4484 | − | 6.55093i | −1.22703 | − | 0.328782i | −0.413608 | − | 0.910455i | \(-0.635731\pi\) |
−0.813422 | + | 0.581673i | \(0.802398\pi\) | |||||||
\(398\) | 13.3159 | − | 11.9663i | 0.667464 | − | 0.599815i | ||||
\(399\) | 45.2519 | + | 24.4482i | 2.26543 | + | 1.22394i | ||||
\(400\) | −3.60009 | + | 16.6195i | −0.180004 | + | 0.830975i | ||||
\(401\) | 1.75827 | + | 3.04541i | 0.0878037 | + | 0.152080i | 0.906582 | − | 0.422029i | \(-0.138682\pi\) |
−0.818779 | + | 0.574109i | \(0.805349\pi\) | |||||||
\(402\) | 35.6223 | − | 7.53562i | 1.77668 | − | 0.375842i | ||||
\(403\) | −0.455597 | − | 1.70031i | −0.0226949 | − | 0.0846986i | ||||
\(404\) | −17.9098 | − | 6.91484i | −0.891044 | − | 0.344026i | ||||
\(405\) | −6.07093 | − | 6.07093i | −0.301667 | − | 0.301667i | ||||
\(406\) | −0.639005 | + | 25.4811i | −0.0317133 | + | 1.26461i | ||||
\(407\) | −7.12595 | −0.353220 | ||||||||
\(408\) | 0.354622 | − | 0.134943i | 0.0175564 | − | 0.00668068i | ||||
\(409\) | 9.33621 | − | 16.1708i | 0.461646 | − | 0.799594i | −0.537397 | − | 0.843329i | \(-0.680592\pi\) |
0.999043 | + | 0.0437352i | \(0.0139258\pi\) | |||||||
\(410\) | −5.08711 | − | 3.31063i | −0.251235 | − | 0.163501i | ||||
\(411\) | 24.7133 | + | 6.62191i | 1.21902 | + | 0.326635i | ||||
\(412\) | 2.73196 | + | 0.292504i | 0.134594 | + | 0.0144106i | ||||
\(413\) | 22.6377 | + | 5.38510i | 1.11393 | + | 0.264983i | ||||
\(414\) | −20.0777 | + | 18.0428i | −0.986765 | + | 0.886754i | ||||
\(415\) | −4.79934 | + | 2.77090i | −0.235590 | + | 0.136018i | ||||
\(416\) | −1.91270 | + | 1.89423i | −0.0937779 | + | 0.0928720i | ||||
\(417\) | 22.1985 | − | 38.4490i | 1.08707 | − | 1.88285i | ||||
\(418\) | 23.1418 | + | 7.54407i | 1.13190 | + | 0.368993i | ||||
\(419\) | −2.28986 | − | 2.28986i | −0.111867 | − | 0.111867i | 0.648958 | − | 0.760825i | \(-0.275205\pi\) |
−0.760825 | + | 0.648958i | \(0.775205\pi\) | |||||||
\(420\) | 4.68788 | + | 9.82487i | 0.228745 | + | 0.479405i | ||||
\(421\) | −0.821840 | + | 0.821840i | −0.0400540 | + | 0.0400540i | −0.726850 | − | 0.686796i | \(-0.759017\pi\) |
0.686796 | + | 0.726850i | \(0.259017\pi\) | |||||||
\(422\) | −0.752653 | − | 1.48072i | −0.0366386 | − | 0.0720801i | ||||
\(423\) | −25.2848 | − | 14.5982i | −1.22939 | − | 0.709788i | ||||
\(424\) | 8.23096 | + | 6.70508i | 0.399731 | + | 0.325628i | ||||
\(425\) | −0.119937 | − | 0.207738i | −0.00581782 | − | 0.0100768i | ||||
\(426\) | −2.35227 | + | 44.0655i | −0.113968 | + | 2.13498i | ||||
\(427\) | −11.7005 | + | 12.3812i | −0.566228 | + | 0.599168i | ||||
\(428\) | 21.7816 | − | 17.5685i | 1.05286 | − | 0.849207i | ||||
\(429\) | 0.616355 | − | 2.30027i | 0.0297579 | − | 0.111058i | ||||
\(430\) | 1.79024 | + | 8.46278i | 0.0863328 | + | 0.408112i | ||||
\(431\) | 17.6989 | + | 10.2185i | 0.852528 | + | 0.492207i | 0.861503 | − | 0.507753i | \(-0.169524\pi\) |
−0.00897512 | + | 0.999960i | \(0.502857\pi\) | |||||||
\(432\) | −2.93953 | − | 1.51217i | −0.141428 | − | 0.0727543i | ||||
\(433\) | − | 34.7460i | − | 1.66979i | −0.550413 | − | 0.834893i | \(-0.685530\pi\) | ||
0.550413 | − | 0.834893i | \(-0.314470\pi\) | |||||||
\(434\) | −13.4547 | + | 3.24596i | −0.645848 | + | 0.155811i | ||||
\(435\) | −9.90979 | + | 9.90979i | −0.475138 | + | 0.475138i | ||||
\(436\) | 5.19396 | + | 2.00535i | 0.248745 | + | 0.0960389i | ||||
\(437\) | −56.8376 | + | 15.2296i | −2.71891 | + | 0.728531i | ||||
\(438\) | 15.1945 | + | 9.88841i | 0.726021 | + | 0.472486i | ||||
\(439\) | −28.2441 | + | 16.3067i | −1.34802 | + | 0.778278i | −0.987969 | − | 0.154655i | \(-0.950573\pi\) |
−0.360049 | + | 0.932933i | \(0.617240\pi\) | |||||||
\(440\) | 3.01591 | + | 4.17656i | 0.143778 | + | 0.199110i | ||||
\(441\) | −16.5780 | − | 8.36030i | −0.789429 | − | 0.398110i | ||||
\(442\) | 0.00202416 | − | 0.0379189i | 9.62793e−5 | − | 0.00180362i | ||||
\(443\) | −3.57386 | + | 13.3378i | −0.169799 | + | 0.633699i | 0.827580 | + | 0.561347i | \(0.189717\pi\) |
−0.997379 | + | 0.0723511i | \(0.976950\pi\) | |||||||
\(444\) | −13.0048 | − | 9.48718i | −0.617181 | − | 0.450242i | ||||
\(445\) | −2.14335 | + | 0.574310i | −0.101605 | + | 0.0272249i | ||||
\(446\) | −1.83958 | + | 5.64299i | −0.0871064 | + | 0.267203i | ||||
\(447\) | −9.60138 | −0.454130 | ||||||||
\(448\) | 14.5121 | + | 15.4077i | 0.685633 | + | 0.727948i | ||||
\(449\) | −17.6685 | −0.833830 | −0.416915 | − | 0.908946i | \(-0.636889\pi\) | ||||
−0.416915 | + | 0.908946i | \(0.636889\pi\) | |||||||
\(450\) | 4.94250 | − | 15.1614i | 0.232992 | − | 0.714713i | ||||
\(451\) | 10.0842 | − | 2.70204i | 0.474844 | − | 0.127234i | ||||
\(452\) | −10.8953 | − | 7.94824i | −0.512471 | − | 0.373854i | ||||
\(453\) | 4.85955 | − | 18.1361i | 0.228321 | − | 0.852107i | ||||
\(454\) | −0.969591 | + | 18.1635i | −0.0455052 | + | 0.852457i | ||||
\(455\) | 1.08902 | − | 0.0307821i | 0.0510542 | − | 0.00144309i | ||||
\(456\) | 32.1898 | + | 44.5779i | 1.50743 | + | 2.08755i | ||||
\(457\) | −3.51049 | + | 2.02678i | −0.164214 | + | 0.0948090i | −0.579855 | − | 0.814720i | \(-0.696891\pi\) |
0.415641 | + | 0.909529i | \(0.363557\pi\) | |||||||
\(458\) | −23.9827 | − | 15.6077i | −1.12064 | − | 0.729298i | ||||
\(459\) | 0.0450415 | − | 0.0120688i | 0.00210236 | − | 0.000563325i | ||||
\(460\) | −11.6181 | − | 4.48568i | −0.541699 | − | 0.209146i | ||||
\(461\) | −2.39386 | + | 2.39386i | −0.111493 | + | 0.111493i | −0.760653 | − | 0.649159i | \(-0.775121\pi\) |
0.649159 | + | 0.760653i | \(0.275121\pi\) | |||||||
\(462\) | −17.9592 | − | 5.29814i | −0.835540 | − | 0.246492i | ||||
\(463\) | 30.7630i | 1.42968i | 0.699289 | + | 0.714839i | \(0.253500\pi\) | ||||
−0.699289 | + | 0.714839i | \(0.746500\pi\) | |||||||
\(464\) | −12.4650 | + | 24.2309i | −0.578672 | + | 1.12489i | ||||
\(465\) | −6.59043 | − | 3.80499i | −0.305624 | − | 0.176452i | ||||
\(466\) | 6.71166 | + | 31.7273i | 0.310912 | + | 1.46974i | ||||
\(467\) | 1.86256 | − | 6.95118i | 0.0861891 | − | 0.321662i | −0.909348 | − | 0.416037i | \(-0.863419\pi\) |
0.995537 | + | 0.0943750i | \(0.0300853\pi\) | |||||||
\(468\) | 1.96491 | − | 1.58484i | 0.0908279 | − | 0.0732595i | ||||
\(469\) | −27.8736 | − | 6.63062i | −1.28708 | − | 0.306174i | ||||
\(470\) | 0.718038 | − | 13.4511i | 0.0331206 | − | 0.620455i | ||||
\(471\) | −19.2090 | − | 33.2709i | −0.885103 | − | 1.53304i | ||||
\(472\) | 19.2866 | + | 15.7112i | 0.887740 | + | 0.723168i | ||||
\(473\) | −12.8852 | − | 7.43929i | −0.592463 | − | 0.342059i | ||||
\(474\) | −8.78938 | − | 17.2916i | −0.403710 | − | 0.794230i | ||||
\(475\) | 24.5802 | − | 24.5802i | 1.12782 | − | 1.12782i | ||||
\(476\) | −0.297654 | − | 0.0233849i | −0.0136430 | − | 0.00107184i | ||||
\(477\) | −7.03969 | − | 7.03969i | −0.322325 | − | 0.322325i | ||||
\(478\) | 6.89721 | + | 2.24844i | 0.315471 | + | 0.102841i | ||||
\(479\) | −1.42754 | + | 2.47257i | −0.0652259 | + | 0.112975i | −0.896794 | − | 0.442448i | \(-0.854110\pi\) |
0.831568 | + | 0.555423i | \(0.187443\pi\) | |||||||
\(480\) | −0.0564824 | + | 11.6375i | −0.00257806 | + | 0.531175i | ||||
\(481\) | −1.39519 | + | 0.805515i | −0.0636153 | + | 0.0367283i | ||||
\(482\) | −17.8299 | + | 16.0228i | −0.812128 | + | 0.729817i | ||||
\(483\) | 43.3752 | − | 12.9464i | 1.97364 | − | 0.589084i | ||||
\(484\) | 13.0642 | + | 1.39876i | 0.593829 | + | 0.0635798i | ||||
\(485\) | 7.57520 | + | 2.02977i | 0.343972 | + | 0.0921670i | ||||
\(486\) | 25.0219 | + | 16.2840i | 1.13502 | + | 0.738657i | ||||
\(487\) | −16.6053 | + | 28.7612i | −0.752457 | + | 1.30329i | 0.194172 | + | 0.980968i | \(0.437798\pi\) |
−0.946629 | + | 0.322326i | \(0.895535\pi\) | |||||||
\(488\) | −17.0207 | + | 6.47682i | −0.770490 | + | 0.293192i | ||||
\(489\) | −7.35986 | −0.332824 | ||||||||
\(490\) | −0.0272909 | − | 8.56609i | −0.00123288 | − | 0.386976i | ||||
\(491\) | −23.0686 | − | 23.0686i | −1.04107 | − | 1.04107i | −0.999120 | − | 0.0419533i | \(-0.986642\pi\) |
−0.0419533 | − | 0.999120i | \(-0.513358\pi\) | |||||||
\(492\) | 22.0009 | + | 8.49440i | 0.991878 | + | 0.382957i | ||||
\(493\) | −0.0994848 | − | 0.371282i | −0.00448057 | − | 0.0167217i | ||||
\(494\) | 5.38373 | − | 1.13889i | 0.242225 | − | 0.0512409i | ||||
\(495\) | −2.41551 | − | 4.18379i | −0.108569 | − | 0.188047i | ||||
\(496\) | −14.4610 | − | 3.13251i | −0.649317 | − | 0.140654i | ||||
\(497\) | 16.5056 | − | 30.5507i | 0.740376 | − | 1.37039i | ||||
\(498\) | 16.0163 | − | 14.3931i | 0.717710 | − | 0.644968i | ||||
\(499\) | −20.0630 | − | 5.37586i | −0.898143 | − | 0.240657i | −0.219924 | − | 0.975517i | \(-0.570581\pi\) |
−0.678219 | + | 0.734860i | \(0.737248\pi\) | |||||||
\(500\) | 15.8181 | − | 2.47387i | 0.707407 | − | 0.110635i | ||||
\(501\) | 3.46406 | + | 12.9280i | 0.154763 | + | 0.577582i | ||||
\(502\) | 1.48418 | + | 2.91986i | 0.0662420 | + | 0.130320i | ||||
\(503\) | − | 0.960903i | − | 0.0428445i | −0.999771 | − | 0.0214223i | \(-0.993181\pi\) | ||
0.999771 | − | 0.0214223i | \(-0.00681944\pi\) | |||||||
\(504\) | −12.0700 | − | 15.7571i | −0.537641 | − | 0.701878i | ||||
\(505\) | 8.30624i | 0.369623i | ||||||||
\(506\) | 19.0962 | − | 9.70666i | 0.848929 | − | 0.431514i | ||||
\(507\) | 7.86003 | + | 29.3340i | 0.349076 | + | 1.30277i | ||||
\(508\) | 10.1659 | − | 13.9352i | 0.451040 | − | 0.618276i | ||||
\(509\) | 2.64231 | + | 0.708005i | 0.117118 | + | 0.0313818i | 0.316902 | − | 0.948458i | \(-0.397357\pi\) |
−0.199784 | + | 0.979840i | \(0.564024\pi\) | |||||||
\(510\) | −0.109727 | − | 0.122103i | −0.00485880 | − | 0.00540679i | ||||
\(511\) | −7.47896 | − | 12.1478i | −0.330850 | − | 0.537388i | ||||
\(512\) | 6.80399 | + | 21.5802i | 0.300697 | + | 0.953720i | ||||
\(513\) | 3.37874 | + | 5.85215i | 0.149175 | + | 0.258379i | ||||
\(514\) | 2.36900 | + | 11.1987i | 0.104492 | + | 0.493954i | ||||
\(515\) | −0.307672 | − | 1.14825i | −0.0135576 | − | 0.0505978i | ||||
\(516\) | −13.6111 | − | 30.7315i | −0.599196 | − | 1.35288i | ||||
\(517\) | 16.3834 | + | 16.3834i | 0.720541 | + | 0.720541i | ||||
\(518\) | 6.05656 | + | 11.1254i | 0.266110 | + | 0.488821i | ||||
\(519\) | 4.17758 | 0.183375 | ||||||||
\(520\) | 1.06260 | + | 0.476814i | 0.0465983 | + | 0.0209097i | ||||
\(521\) | 19.6749 | − | 34.0779i | 0.861972 | − | 1.49298i | −0.00805046 | − | 0.999968i | \(-0.502563\pi\) |
0.870023 | − | 0.493012i | \(-0.164104\pi\) | |||||||
\(522\) | 13.9381 | − | 21.4172i | 0.610052 | − | 0.937404i | ||||
\(523\) | −3.79685 | − | 1.01736i | −0.166025 | − | 0.0444861i | 0.174849 | − | 0.984595i | \(-0.444056\pi\) |
−0.340874 | + | 0.940109i | \(0.610723\pi\) | |||||||
\(524\) | 8.38465 | − | 6.76285i | 0.366285 | − | 0.295436i | ||||
\(525\) | −18.3671 | + | 19.4356i | −0.801605 | + | 0.848239i | ||||
\(526\) | −14.0246 | − | 15.6064i | −0.611503 | − | 0.680470i | ||||
\(527\) | 0.180757 | − | 0.104360i | 0.00787390 | − | 0.00454600i | ||||
\(528\) | −14.8236 | − | 13.4518i | −0.645115 | − | 0.585416i | ||||
\(529\) | −14.3932 | + | 24.9297i | −0.625791 | + | 1.08390i | ||||
\(530\) | 1.42362 | − | 4.36703i | 0.0618382 | − | 0.189692i | ||||
\(531\) | −16.4953 | − | 16.4953i | −0.715834 | − | 0.715834i | ||||
\(532\) | −7.89073 | − | 42.5421i | −0.342107 | − | 1.84443i | ||||
\(533\) | 1.66894 | − | 1.66894i | 0.0722900 | − | 0.0722900i | ||||
\(534\) | 7.68608 | − | 3.90686i | 0.332609 | − | 0.169066i | ||||
\(535\) | −10.4853 | − | 6.05367i | −0.453317 | − | 0.261723i | ||||
\(536\) | −23.7475 | − | 19.3451i | −1.02573 | − | 0.835580i | ||||
\(537\) | −9.10627 | − | 15.7725i | −0.392964 | − | 0.680634i | ||||
\(538\) | −0.342225 | − | 0.0182684i | −0.0147544 | − | 0.000787607i | ||||
\(539\) | 10.9905 | + | 9.81351i | 0.473396 | + | 0.422698i | ||||
\(540\) | −0.152259 | + | 1.42209i | −0.00655220 | + | 0.0611970i | ||||
\(541\) | −9.89977 | + | 36.9465i | −0.425624 | + | 1.58845i | 0.336931 | + | 0.941529i | \(0.390611\pi\) |
−0.762556 | + | 0.646923i | \(0.776056\pi\) | |||||||
\(542\) | −31.0325 | + | 6.56468i | −1.33296 | + | 0.281977i | ||||
\(543\) | −0.0130450 | − | 0.00753154i | −0.000559815 | − | 0.000323209i | ||||
\(544\) | −0.275646 | − | 0.160933i | −0.0118182 | − | 0.00689994i | ||||
\(545\) | − | 2.40887i | − | 0.103185i | ||||||
\(546\) | −4.11515 | + | 0.992782i | −0.176112 | + | 0.0424872i | ||||
\(547\) | 17.4654 | − | 17.4654i | 0.746767 | − | 0.746767i | −0.227104 | − | 0.973871i | \(-0.572926\pi\) |
0.973871 | + | 0.227104i | \(0.0729256\pi\) | |||||||
\(548\) | −8.71597 | − | 19.6791i | −0.372328 | − | 0.840650i | ||||
\(549\) | 16.4960 | − | 4.42009i | 0.704033 | − | 0.188645i | ||||
\(550\) | −6.90266 | + | 10.6066i | −0.294330 | + | 0.452267i | ||||
\(551\) | 48.2399 | − | 27.8513i | 2.05509 | − | 1.18651i | ||||
\(552\) | 47.7735 | + | 7.70925i | 2.03337 | + | 0.328128i | ||||
\(553\) | 0.431266 | + | 15.2575i | 0.0183393 | + | 0.648816i | ||||
\(554\) | 27.4847 | + | 1.46717i | 1.16771 | + | 0.0623340i | ||||
\(555\) | −1.80260 | + | 6.72738i | −0.0765159 | + | 0.285561i | ||||
\(556\) | −36.8995 | + | 5.77089i | −1.56489 | + | 0.244740i | ||||
\(557\) | 22.3434 | − | 5.98690i | 0.946721 | − | 0.253673i | 0.247751 | − | 0.968824i | \(-0.420309\pi\) |
0.698970 | + | 0.715151i | \(0.253642\pi\) | |||||||
\(558\) | 13.1922 | + | 4.30058i | 0.558471 | + | 0.182058i | ||||
\(559\) | −3.36374 | −0.142271 | ||||||||
\(560\) | 3.95735 | − | 8.25837i | 0.167228 | − | 0.348980i | ||||
\(561\) | 0.282367 | 0.0119215 | ||||||||
\(562\) | −16.6534 | − | 5.42889i | −0.702480 | − | 0.229004i | ||||
\(563\) | −16.6774 | + | 4.46869i | −0.702868 | + | 0.188333i | −0.592515 | − | 0.805560i | \(-0.701865\pi\) |
−0.110353 | + | 0.993892i | \(0.535198\pi\) | |||||||
\(564\) | 8.08746 | + | 51.7117i | 0.340543 | + | 2.17746i | ||||
\(565\) | −1.51019 | + | 5.63612i | −0.0635343 | + | 0.237113i | ||||
\(566\) | 5.33626 | + | 0.284856i | 0.224300 | + | 0.0119734i | ||||
\(567\) | −13.7626 | − | 22.3542i | −0.577977 | − | 0.938787i | ||||
\(568\) | 30.0957 | − | 21.7322i | 1.26279 | − | 0.911861i | ||||
\(569\) | 18.2857 | − | 10.5573i | 0.766577 | − | 0.442583i | −0.0650753 | − | 0.997880i | \(-0.520729\pi\) |
0.831652 | + | 0.555297i | \(0.187395\pi\) | |||||||
\(570\) | 12.9761 | − | 19.9391i | 0.543510 | − | 0.835156i | ||||
\(571\) | −12.7451 | + | 3.41504i | −0.533366 | + | 0.142915i | −0.515442 | − | 0.856924i | \(-0.672372\pi\) |
−0.0179237 | + | 0.999839i | \(0.505706\pi\) | |||||||
\(572\) | −1.83169 | + | 0.811265i | −0.0765870 | + | 0.0339207i | ||||
\(573\) | 25.8919 | − | 25.8919i | 1.08165 | − | 1.08165i | ||||
\(574\) | −12.7894 | − | 13.4473i | −0.533819 | − | 0.561281i | ||||
\(575\) | − | 30.5931i | − | 1.27582i | ||||||
\(576\) | −4.29076 | − | 20.7808i | −0.178782 | − | 0.865868i | ||||
\(577\) | 21.7205 | + | 12.5403i | 0.904235 | + | 0.522061i | 0.878572 | − | 0.477610i | \(-0.158497\pi\) |
0.0256635 | + | 0.999671i | \(0.491830\pi\) | |||||||
\(578\) | −23.5167 | + | 4.97477i | −0.978166 | + | 0.206923i | ||||
\(579\) | 0.954171 | − | 3.56101i | 0.0396540 | − | 0.147991i | ||||
\(580\) | 11.7224 | + | 1.25509i | 0.486748 | + | 0.0521149i | ||||
\(581\) | −16.2367 | + | 4.84625i | −0.673611 | + | 0.201056i | ||||
\(582\) | −30.4293 | − | 1.62435i | −1.26133 | − | 0.0673315i | ||||
\(583\) | 3.95029 | + | 6.84210i | 0.163604 | + | 0.283371i | ||||
\(584\) | −1.54993 | − | 15.1715i | −0.0641367 | − | 0.627801i | ||||
\(585\) | −0.945868 | − | 0.546097i | −0.0391068 | − | 0.0225783i | ||||
\(586\) | 5.05979 | − | 2.57191i | 0.209018 | − | 0.106245i | ||||
\(587\) | 0.705313 | − | 0.705313i | 0.0291114 | − | 0.0291114i | −0.692401 | − | 0.721513i | \(-0.743447\pi\) |
0.721513 | + | 0.692401i | \(0.243447\pi\) | |||||||
\(588\) | 6.99238 | + | 32.5419i | 0.288361 | + | 1.34201i | ||||
\(589\) | 21.3877 | + | 21.3877i | 0.881266 | + | 0.881266i | ||||
\(590\) | 3.33581 | − | 10.2327i | 0.137333 | − | 0.421275i | ||||
\(591\) | 1.76818 | − | 3.06258i | 0.0727333 | − | 0.125978i | ||||
\(592\) | 0.656207 | + | 13.5258i | 0.0269699 | + | 0.555908i | ||||
\(593\) | −37.2581 | + | 21.5110i | −1.53001 | + | 0.883350i | −0.530646 | + | 0.847593i | \(0.678051\pi\) |
−0.999361 | + | 0.0357564i | \(0.988616\pi\) | |||||||
\(594\) | −1.64432 | − | 1.82977i | −0.0674672 | − | 0.0750763i | ||||
\(595\) | 0.0369460 | + | 0.123782i | 0.00151464 | + | 0.00507458i | ||||
\(596\) | 5.07079 | + | 6.28682i | 0.207708 | + | 0.257518i | ||||
\(597\) | 29.0711 | + | 7.78959i | 1.18980 | + | 0.318807i | ||||
\(598\) | 2.64162 | − | 4.05910i | 0.108024 | − | 0.165989i | ||||
\(599\) | −11.7482 | + | 20.3485i | −0.480019 | + | 0.831418i | −0.999737 | − | 0.0229200i | \(-0.992704\pi\) |
0.519718 | + | 0.854338i | \(0.326037\pi\) | |||||||
\(600\) | −26.7185 | + | 10.1671i | −1.09078 | + | 0.415070i | ||||
\(601\) | 42.4771 | 1.73268 | 0.866339 | − | 0.499456i | \(-0.166467\pi\) | ||||
0.866339 | + | 0.499456i | \(0.166467\pi\) | |||||||
\(602\) | −0.663049 | + | 26.4399i | −0.0270239 | + | 1.07761i | ||||
\(603\) | 20.3105 | + | 20.3105i | 0.827107 | + | 0.827107i | ||||
\(604\) | −14.4417 | + | 6.39629i | −0.587624 | + | 0.260261i | ||||
\(605\) | −1.47129 | − | 5.49092i | −0.0598163 | − | 0.223238i | ||||
\(606\) | −6.67967 | − | 31.5761i | −0.271343 | − | 1.28269i | ||||
\(607\) | −10.5533 | − | 18.2788i | −0.428345 | − | 0.741915i | 0.568382 | − | 0.822765i | \(-0.307570\pi\) |
−0.996726 | + | 0.0808504i | \(0.974236\pi\) | |||||||
\(608\) | 12.1884 | − | 44.6203i | 0.494305 | − | 1.80959i | ||||
\(609\) | −36.4895 | + | 22.4653i | −1.47863 | + | 0.910338i | ||||
\(610\) | 5.26655 | + | 5.86052i | 0.213236 | + | 0.237286i | ||||
\(611\) | 5.05969 | + | 1.35574i | 0.204693 | + | 0.0548473i | ||||
\(612\) | 0.241814 | + | 0.176406i | 0.00977475 | + | 0.00713081i | ||||
\(613\) | −2.89016 | − | 10.7862i | −0.116733 | − | 0.435652i | 0.882678 | − | 0.469978i | \(-0.155738\pi\) |
−0.999411 | + | 0.0343262i | \(0.989071\pi\) | |||||||
\(614\) | 31.2508 | − | 15.8849i | 1.26118 | − | 0.641062i | ||||
\(615\) | − | 10.2036i | − | 0.411451i | ||||||
\(616\) | 6.01571 | + | 14.5575i | 0.242380 | + | 0.586540i | ||||
\(617\) | 18.9275i | 0.761992i | 0.924577 | + | 0.380996i | \(0.124419\pi\) | ||||
−0.924577 | + | 0.380996i | \(0.875581\pi\) | |||||||
\(618\) | 2.09300 | + | 4.11762i | 0.0841928 | + | 0.165635i | ||||
\(619\) | −2.19722 | − | 8.20013i | −0.0883137 | − | 0.329591i | 0.907607 | − | 0.419820i | \(-0.137907\pi\) |
−0.995921 | + | 0.0902289i | \(0.971240\pi\) | |||||||
\(620\) | 0.989174 | + | 6.32484i | 0.0397262 | + | 0.254012i | ||||
\(621\) | 5.74449 | + | 1.53923i | 0.230518 | + | 0.0617672i | ||||
\(622\) | −23.5829 | + | 21.1927i | −0.945588 | + | 0.849750i | ||||
\(623\) | −6.78194 | + | 0.191697i | −0.271713 | + | 0.00768017i | ||||
\(624\) | −4.42291 | − | 0.958083i | −0.177058 | − | 0.0383540i | ||||
\(625\) | 7.16461 | + | 12.4095i | 0.286584 | + | 0.496379i | ||||
\(626\) | −10.7071 | + | 2.26500i | −0.427941 | + | 0.0905277i | ||||
\(627\) | 10.5907 | + | 39.5251i | 0.422953 | + | 1.57848i | ||||
\(628\) | −11.6404 | + | 30.1491i | −0.464502 | + | 1.20308i | ||||
\(629\) | −0.135073 | − | 0.135073i | −0.00538571 | − | 0.00538571i | ||||
\(630\) | −4.47892 | + | 7.32714i | −0.178444 | + | 0.291920i | ||||
\(631\) | 8.88067 | 0.353534 | 0.176767 | − | 0.984253i | \(-0.443436\pi\) | ||||
0.176767 | + | 0.984253i | \(0.443436\pi\) | |||||||
\(632\) | −6.68031 | + | 14.8874i | −0.265728 | + | 0.592189i | ||||
\(633\) | 1.39620 | − | 2.41829i | 0.0554940 | − | 0.0961184i | ||||
\(634\) | 3.83941 | + | 2.49864i | 0.152482 | + | 0.0992339i | ||||
\(635\) | −7.20868 | − | 1.93156i | −0.286068 | − | 0.0766516i | ||||
\(636\) | −1.90002 | + | 17.7460i | −0.0753409 | + | 0.703676i | ||||
\(637\) | 3.26116 | + | 0.679025i | 0.129212 | + | 0.0269040i | ||||
\(638\) | −15.0830 | + | 13.5543i | −0.597142 | + | 0.536620i | ||||
\(639\) | −30.1477 | + | 17.4058i | −1.19263 | + | 0.688563i | ||||
\(640\) | 7.64984 | − | 6.10912i | 0.302387 | − | 0.241484i | ||||
\(641\) | 1.02617 | − | 1.77738i | 0.0405314 | − | 0.0702024i | −0.845048 | − | 0.534690i | \(-0.820428\pi\) |
0.885579 | + | 0.464488i | \(0.153762\pi\) | |||||||
\(642\) | 44.7278 | + | 14.5809i | 1.76526 | + | 0.575464i | ||||
\(643\) | −20.1070 | − | 20.1070i | −0.792942 | − | 0.792942i | 0.189029 | − | 0.981971i | \(-0.439466\pi\) |
−0.981971 | + | 0.189029i | \(0.939466\pi\) | |||||||
\(644\) | −31.3849 | − | 21.5639i | −1.23674 | − | 0.849739i | ||||
\(645\) | −10.2827 | + | 10.2827i | −0.404880 | + | 0.404880i | ||||
\(646\) | 0.295656 | + | 0.581653i | 0.0116324 | + | 0.0228848i | ||||
\(647\) | 10.6872 | + | 6.17028i | 0.420159 | + | 0.242579i | 0.695145 | − | 0.718869i | \(-0.255340\pi\) |
−0.274987 | + | 0.961448i | \(0.588673\pi\) | |||||||
\(648\) | −2.85216 | − | 27.9183i | −0.112043 | − | 1.09673i | ||||
\(649\) | 9.25625 | + | 16.0323i | 0.363339 | + | 0.629322i | ||||
\(650\) | −0.152507 | + | 2.85695i | −0.00598183 | + | 0.112059i | ||||
\(651\) | −16.9113 | − | 15.9816i | −0.662807 | − | 0.626368i | ||||
\(652\) | 3.88697 | + | 4.81911i | 0.152226 | + | 0.188731i | ||||
\(653\) | 11.0441 | − | 41.2170i | 0.432187 | − | 1.61294i | −0.315522 | − | 0.948918i | \(-0.602180\pi\) |
0.747709 | − | 0.664026i | \(-0.231154\pi\) | |||||||
\(654\) | 1.93715 | + | 9.15728i | 0.0757486 | + | 0.358078i | ||||
\(655\) | −4.03621 | − | 2.33030i | −0.157708 | − | 0.0910525i | ||||
\(656\) | −6.05739 | − | 18.8920i | −0.236501 | − | 0.737608i | ||||
\(657\) | 14.3013i | 0.557948i | ||||||||
\(658\) | 11.6538 | − | 39.5033i | 0.454314 | − | 1.54000i | ||||
\(659\) | 19.4114 | − | 19.4114i | 0.756162 | − | 0.756162i | −0.219460 | − | 0.975622i | \(-0.570429\pi\) |
0.975622 | + | 0.219460i | \(0.0704294\pi\) | |||||||
\(660\) | −3.11936 | + | 8.07930i | −0.121421 | + | 0.314486i | ||||
\(661\) | 31.9327 | − | 8.55633i | 1.24204 | − | 0.332803i | 0.422782 | − | 0.906232i | \(-0.361054\pi\) |
0.819255 | + | 0.573429i | \(0.194387\pi\) | |||||||
\(662\) | −4.93518 | − | 3.21176i | −0.191811 | − | 0.124829i | ||||
\(663\) | 0.0552848 | − | 0.0319187i | 0.00214708 | − | 0.00123962i | ||||
\(664\) | −17.8831 | − | 2.88581i | −0.693998 | − | 0.111991i | ||||
\(665\) | −15.9410 | + | 9.81431i | −0.618167 | + | 0.380583i | ||||
\(666\) | 0.676921 | − | 12.6809i | 0.0262302 | − | 0.491374i | ||||
\(667\) | 12.6881 | − | 47.3525i | 0.491284 | − | 1.83350i | ||||
\(668\) | 6.63559 | − | 9.09591i | 0.256739 | − | 0.351932i | ||||
\(669\) | −9.63796 | + | 2.58248i | −0.372625 | + | 0.0998446i | ||||
\(670\) | −4.10734 | + | 12.5995i | −0.158681 | + | 0.486760i | ||||
\(671\) | −13.5527 | −0.523196 | ||||||||
\(672\) | −8.40263 | + | 34.5765i | −0.324139 | + | 1.33382i | ||||
\(673\) | −2.56169 | −0.0987460 | −0.0493730 | − | 0.998780i | \(-0.515722\pi\) | ||||
−0.0493730 | + | 0.998780i | \(0.515722\pi\) | |||||||
\(674\) | −2.67782 | + | 8.21434i | −0.103146 | + | 0.316405i | ||||
\(675\) | −3.39359 | + | 0.909309i | −0.130619 | + | 0.0349993i | ||||
\(676\) | 15.0563 | − | 20.6388i | 0.579088 | − | 0.793802i | ||||
\(677\) | −6.22338 | + | 23.2260i | −0.239184 | + | 0.892646i | 0.737034 | + | 0.675855i | \(0.236226\pi\) |
−0.976218 | + | 0.216791i | \(0.930441\pi\) | |||||||
\(678\) | 1.20855 | − | 22.6401i | 0.0464142 | − | 0.869487i | ||||
\(679\) | 21.0967 | + | 11.3979i | 0.809617 | + | 0.437410i | ||||
\(680\) | −0.0220003 | + | 0.136334i | −0.000843674 | + | 0.00522816i | ||||
\(681\) | −26.4820 | + | 15.2894i | −1.01479 | + | 0.585890i | ||||
\(682\) | −9.22903 | − | 6.00615i | −0.353398 | − | 0.229987i | ||||
\(683\) | 13.9020 | − | 3.72504i | 0.531946 | − | 0.142535i | 0.0171593 | − | 0.999853i | \(-0.494538\pi\) |
0.514787 | + | 0.857318i | \(0.327871\pi\) | |||||||
\(684\) | −15.6233 | + | 40.4651i | −0.597371 | + | 1.54722i | ||||
\(685\) | −6.58458 | + | 6.58458i | −0.251584 | + | 0.251584i | ||||
\(686\) | 5.98016 | − | 25.4998i | 0.228323 | − | 0.973585i | ||||
\(687\) | − | 48.1041i | − | 1.83529i | ||||||
\(688\) | −12.9340 | + | 25.1426i | −0.493104 | + | 0.958553i | ||||
\(689\) | 1.54686 | + | 0.893079i | 0.0589306 | + | 0.0340236i | ||||
\(690\) | −4.33313 | − | 20.4835i | −0.164959 | − | 0.779794i | ||||
\(691\) | −11.3894 | + | 42.5057i | −0.433272 | + | 1.61699i | 0.311897 | + | 0.950116i | \(0.399036\pi\) |
−0.745169 | + | 0.666876i | \(0.767631\pi\) | |||||||
\(692\) | −2.20631 | − | 2.73541i | −0.0838713 | − | 0.103985i | ||||
\(693\) | −4.22468 | − | 14.1542i | −0.160482 | − | 0.537673i | ||||
\(694\) | 2.34243 | − | 43.8812i | 0.0889174 | − | 1.66571i | ||||
\(695\) | 8.07940 | + | 13.9939i | 0.306469 | + | 0.530820i | ||||
\(696\) | −45.5720 | + | 4.65568i | −1.72740 | + | 0.176473i | ||||
\(697\) | 0.242363 | + | 0.139929i | 0.00918017 | + | 0.00530017i | ||||
\(698\) | 4.54964 | + | 8.95063i | 0.172206 | + | 0.338786i | ||||
\(699\) | −38.5501 | + | 38.5501i | −1.45810 | + | 1.45810i | ||||
\(700\) | 22.4263 | + | 1.76190i | 0.847636 | + | 0.0665936i | ||||
\(701\) | 15.8844 | + | 15.8844i | 0.599946 | + | 0.599946i | 0.940298 | − | 0.340352i | \(-0.110546\pi\) |
−0.340352 | + | 0.940298i | \(0.610546\pi\) | |||||||
\(702\) | −0.528779 | − | 0.172378i | −0.0199575 | − | 0.00650600i | ||||
\(703\) | 13.8410 | − | 23.9734i | 0.522024 | − | 0.904173i | ||||
\(704\) | −0.979213 | + | 16.8106i | −0.0369055 | + | 0.633573i | ||||
\(705\) | 19.6114 | − | 11.3227i | 0.738609 | − | 0.426436i | ||||
\(706\) | 23.7677 | − | 21.3588i | 0.894508 | − | 0.803848i | ||||
\(707\) | −5.87747 | + | 24.7075i | −0.221045 | + | 0.929222i | ||||
\(708\) | −4.45210 | + | 41.5822i | −0.167320 | + | 1.56275i | ||||
\(709\) | −25.3348 | − | 6.78844i | −0.951469 | − | 0.254945i | −0.250483 | − | 0.968121i | \(-0.580590\pi\) |
−0.700985 | + | 0.713176i | \(0.747256\pi\) | |||||||
\(710\) | −13.4614 | − | 8.76051i | −0.505196 | − | 0.328776i | ||||
\(711\) | 7.65098 | − | 13.2519i | 0.286934 | − | 0.496985i | ||||
\(712\) | −6.61741 | − | 2.96938i | −0.247998 | − | 0.111282i | ||||
\(713\) | 26.6197 | 0.996916 | ||||||||
\(714\) | −0.239992 | − | 0.440846i | −0.00898148 | − | 0.0164982i | ||||
\(715\) | 0.612879 | + | 0.612879i | 0.0229204 | + | 0.0229204i | ||||
\(716\) | −5.51827 | + | 14.2926i | −0.206228 | + | 0.534139i | ||||
\(717\) | 3.15647 | + | 11.7801i | 0.117881 | + | 0.439936i | ||||
\(718\) | 16.0643 | − | 3.39828i | 0.599514 | − | 0.126823i | ||||
\(719\) | 7.85533 | + | 13.6058i | 0.292954 | + | 0.507412i | 0.974507 | − | 0.224357i | \(-0.0720283\pi\) |
−0.681553 | + | 0.731769i | \(0.738695\pi\) | |||||||
\(720\) | −7.71884 | + | 4.97017i | −0.287664 | + | 0.185227i | ||||
\(721\) | −0.102697 | − | 3.63325i | −0.00382462 | − | 0.135309i | ||||
\(722\) | −50.3436 | + | 45.2411i | −1.87359 | + | 1.68370i | ||||
\(723\) | −38.9260 | − | 10.4302i | −1.44768 | − | 0.387903i | ||||
\(724\) | 0.00195795 | + | 0.0125193i | 7.27668e−5 | + | 0.000465276i | ||||
\(725\) | 7.49554 | + | 27.9737i | 0.278377 | + | 1.03892i | ||||
\(726\) | 10.0087 | + | 19.6905i | 0.371459 | + | 0.730782i | ||||
\(727\) | 24.4125i | 0.905411i | 0.891660 | + | 0.452705i | \(0.149541\pi\) | ||||
−0.891660 | + | 0.452705i | \(0.850459\pi\) | |||||||
\(728\) | 2.82340 | + | 2.17021i | 0.104642 | + | 0.0804334i | ||||
\(729\) | 20.4227i | 0.756395i | ||||||||
\(730\) | −5.88193 | + | 2.98981i | −0.217700 | + | 0.110658i | ||||
\(731\) | −0.103228 | − | 0.385253i | −0.00381803 | − | 0.0142491i | ||||
\(732\) | −24.7336 | − | 18.0435i | −0.914179 | − | 0.666906i | ||||
\(733\) | 7.87397 | + | 2.10982i | 0.290832 | + | 0.0779281i | 0.401285 | − | 0.915953i | \(-0.368564\pi\) |
−0.110453 | + | 0.993881i | \(0.535230\pi\) | |||||||
\(734\) | 32.3831 | + | 36.0354i | 1.19528 | + | 1.33009i | ||||
\(735\) | 12.0448 | − | 7.89336i | 0.444279 | − | 0.291151i | ||||
\(736\) | −20.1828 | − | 35.3528i | −0.743948 | − | 1.30312i | ||||
\(737\) | −11.3971 | − | 19.7404i | −0.419818 | − | 0.727147i | ||||
\(738\) | 3.85045 | + | 18.2018i | 0.141737 | + | 0.670018i | ||||
\(739\) | 1.94045 | + | 7.24186i | 0.0713807 | + | 0.266396i | 0.992388 | − | 0.123148i | \(-0.0392991\pi\) |
−0.921008 | + | 0.389545i | \(0.872632\pi\) | |||||||
\(740\) | 5.35698 | − | 2.37263i | 0.196927 | − | 0.0872197i | ||||
\(741\) | 6.54147 | + | 6.54147i | 0.240307 | + | 0.240307i | ||||
\(742\) | 7.32476 | − | 11.9827i | 0.268900 | − | 0.439899i | ||||
\(743\) | 5.21163 | 0.191196 | 0.0955980 | − | 0.995420i | \(-0.469524\pi\) | ||||
0.0955980 | + | 0.995420i | \(0.469524\pi\) | |||||||
\(744\) | −8.84661 | − | 23.2483i | −0.324332 | − | 0.852325i | ||||
\(745\) | 1.74727 | − | 3.02635i | 0.0640149 | − | 0.110877i | ||||
\(746\) | 19.3332 | − | 29.7073i | 0.707838 | − | 1.08766i | ||||
\(747\) | 16.4082 | + | 4.39657i | 0.600346 | + | 0.160862i | ||||
\(748\) | −0.149127 | − | 0.184889i | −0.00545262 | − | 0.00676022i | ||||
\(749\) | −26.9056 | − | 25.4264i | −0.983109 | − | 0.929060i | ||||
\(750\) | 17.9906 | + | 20.0196i | 0.656923 | + | 0.731013i | ||||
\(751\) | −3.60025 | + | 2.07860i | −0.131375 | + | 0.0758493i | −0.564247 | − | 0.825606i | \(-0.690833\pi\) |
0.432872 | + | 0.901455i | \(0.357500\pi\) | |||||||
\(752\) | 29.5887 | − | 32.6061i | 1.07899 | − | 1.18902i | ||||
\(753\) | −2.75320 | + | 4.76869i | −0.100332 | + | 0.173781i | ||||
\(754\) | −1.42093 | + | 4.35878i | −0.0517473 | + | 0.158737i | ||||
\(755\) | 4.83215 | + | 4.83215i | 0.175860 | + | 0.175860i | ||||
\(756\) | −1.45917 | + | 4.12237i | −0.0530696 | + | 0.149929i | ||||
\(757\) | 5.25365 | − | 5.25365i | 0.190947 | − | 0.190947i | −0.605158 | − | 0.796105i | \(-0.706890\pi\) |
0.796105 | + | 0.605158i | \(0.206890\pi\) | |||||||
\(758\) | −33.9271 | + | 17.2453i | −1.23229 | + | 0.626376i | ||||
\(759\) | 31.1877 | + | 18.0062i | 1.13204 | + | 0.653585i | ||||
\(760\) | −19.9089 | + | 2.03391i | −0.722171 | + | 0.0737776i | ||||
\(761\) | −4.74872 | − | 8.22502i | −0.172141 | − | 0.298157i | 0.767027 | − | 0.641615i | \(-0.221735\pi\) |
−0.939168 | + | 0.343458i | \(0.888402\pi\) | |||||||
\(762\) | 28.9570 | + | 1.54576i | 1.04900 | + | 0.0559970i | ||||
\(763\) | 1.70451 | − | 7.16535i | 0.0617073 | − | 0.259403i | ||||
\(764\) | −30.6279 | − | 3.27925i | −1.10808 | − | 0.118639i | ||||
\(765\) | 0.0335178 | − | 0.125090i | 0.00121184 | − | 0.00452264i | ||||
\(766\) | 31.4472 | − | 6.65241i | 1.13623 | − | 0.240362i | ||||
\(767\) | 3.62457 | + | 2.09265i | 0.130876 | + | 0.0755611i | ||||
\(768\) | −24.1680 | + | 29.3756i | −0.872086 | + | 1.06000i | ||||
\(769\) | − | 21.7626i | − | 0.784779i | −0.919799 | − | 0.392390i | \(-0.871648\pi\) | ||
0.919799 | − | 0.392390i | \(-0.128352\pi\) | |||||||
\(770\) | 4.93821 | − | 4.69659i | 0.177961 | − | 0.169253i | ||||
\(771\) | −13.6069 | + | 13.6069i | −0.490042 | + | 0.490042i | ||||
\(772\) | −2.83562 | + | 1.25591i | −0.102056 | + | 0.0452012i | ||||
\(773\) | 38.1522 | − | 10.2229i | 1.37224 | − | 0.367690i | 0.503943 | − | 0.863737i | \(-0.331882\pi\) |
0.868296 | + | 0.496046i | \(0.165215\pi\) | |||||||
\(774\) | 14.4625 | − | 22.2230i | 0.519844 | − | 0.798791i | ||||
\(775\) | −13.6189 | + | 7.86287i | −0.489205 | + | 0.282442i | ||||
\(776\) | 15.0071 | + | 20.7825i | 0.538722 | + | 0.746047i | ||||
\(777\) | −10.1222 | + | 18.7356i | −0.363133 | + | 0.672135i | ||||
\(778\) | −38.1106 | − | 2.03439i | −1.36633 | − | 0.0729363i | ||||
\(779\) | −10.4966 | + | 39.1738i | −0.376079 | + | 1.40355i | ||||
\(780\) | 0.302540 | + | 1.93446i | 0.0108327 | + | 0.0692649i | ||||
\(781\) | 26.6844 | − | 7.15007i | 0.954843 | − | 0.255850i | ||||
\(782\) | 0.545960 | + | 0.177979i | 0.0195235 | + | 0.00636453i | ||||
\(783\) | −5.62978 | −0.201192 | ||||||||
\(784\) | 17.6150 | − | 21.7649i | 0.629108 | − | 0.777318i | ||||
\(785\) | 13.9827 | 0.499062 | ||||||||
\(786\) | 17.2176 | + | 5.61281i | 0.614130 | + | 0.200202i | ||||
\(787\) | 25.9373 | − | 6.94989i | 0.924567 | − | 0.247737i | 0.235030 | − | 0.971988i | \(-0.424481\pi\) |
0.689536 | + | 0.724251i | \(0.257814\pi\) | |||||||
\(788\) | −2.93916 | + | 0.459670i | −0.104703 | + | 0.0163751i | ||||
\(789\) | 9.12949 | − | 34.0717i | 0.325018 | − | 1.21299i | ||||
\(790\) | 7.04981 | + | 0.376327i | 0.250821 | + | 0.0133891i | ||||
\(791\) | −8.48027 | + | 15.6964i | −0.301524 | + | 0.558101i | ||||
\(792\) | 2.51568 | − | 15.5894i | 0.0893908 | − | 0.553946i | ||||
\(793\) | −2.65349 | + | 1.53199i | −0.0942281 | + | 0.0544026i | ||||
\(794\) | −19.5245 | + | 30.0012i | −0.692897 | + | 1.06470i | ||||
\(795\) | 7.45868 | − | 1.99855i | 0.264532 | − | 0.0708812i | ||||
\(796\) | −10.2529 | − | 23.1492i | −0.363404 | − | 0.820502i | ||||
\(797\) | −28.0289 | + | 28.0289i | −0.992834 | + | 0.992834i | −0.999975 | − | 0.00714087i | \(-0.997727\pi\) |
0.00714087 | + | 0.999975i | \(0.497727\pi\) | |||||||
\(798\) | 52.7072 | − | 50.1283i | 1.86581 | − | 1.77452i | ||||
\(799\) | 0.621097i | 0.0219728i | ||||||||
\(800\) | 20.7681 | + | 12.1253i | 0.734264 | + | 0.428693i | ||||
\(801\) | 5.89044 | + | 3.40084i | 0.208128 | + | 0.120163i | ||||
\(802\) | 4.86546 | − | 1.02925i | 0.171805 | − | 0.0363441i | ||||
\(803\) | 2.93740 | − | 10.9625i | 0.103658 | − | 0.386859i | ||||
\(804\) | 5.48183 | − | 51.1998i | 0.193329 | − | 1.80568i | ||||
\(805\) | −3.81274 | + | 16.0279i | −0.134381 | + | 0.564908i | ||||
\(806\) | −2.48589 | − | 0.132700i | −0.0875618 | − | 0.00467415i | ||||
\(807\) | −0.288072 | − | 0.498956i | −0.0101406 | − | 0.0175641i | ||||
\(808\) | −17.1477 | + | 21.0501i | −0.603255 | + | 0.740538i | ||||
\(809\) | 14.7231 | + | 8.50038i | 0.517636 | + | 0.298857i | 0.735967 | − | 0.677017i | \(-0.236728\pi\) |
−0.218331 | + | 0.975875i | \(0.570061\pi\) | |||||||
\(810\) | −10.8238 | + | 5.50178i | −0.380310 | + | 0.193313i | ||||
\(811\) | −0.379489 | + | 0.379489i | −0.0133256 | + | 0.0133256i | −0.713738 | − | 0.700413i | \(-0.752999\pi\) |
0.700413 | + | 0.713738i | \(0.252999\pi\) | |||||||
\(812\) | 33.9811 | + | 12.0281i | 1.19250 | + | 0.422104i | ||||
\(813\) | −37.7059 | − | 37.7059i | −1.32240 | − | 1.32240i | ||||
\(814\) | −3.12346 | + | 9.58135i | −0.109477 | + | 0.335826i | ||||
\(815\) | 1.33935 | − | 2.31983i | 0.0469155 | − | 0.0812600i | ||||
\(816\) | −0.0260023 | − | 0.535963i | −0.000910263 | − | 0.0187625i | ||||
\(817\) | 50.0550 | − | 28.8993i | 1.75120 | − | 1.01106i | ||||
\(818\) | −17.6505 | − | 19.6412i | −0.617136 | − | 0.686739i | ||||
\(819\) | −2.42714 | − | 2.29370i | −0.0848110 | − | 0.0801483i | ||||
\(820\) | −6.68118 | + | 5.38887i | −0.233317 | + | 0.188187i | ||||
\(821\) | −30.7660 | − | 8.24372i | −1.07374 | − | 0.287708i | −0.321711 | − | 0.946838i | \(-0.604258\pi\) |
−0.752029 | + | 0.659130i | \(0.770925\pi\) | |||||||
\(822\) | 19.7360 | − | 30.3263i | 0.688373 | − | 1.05775i | ||||
\(823\) | 22.7033 | − | 39.3232i | 0.791386 | − | 1.37072i | −0.133722 | − | 0.991019i | \(-0.542693\pi\) |
0.925109 | − | 0.379703i | \(-0.123974\pi\) | |||||||
\(824\) | 1.59077 | − | 3.54511i | 0.0554171 | − | 0.123500i | ||||
\(825\) | −21.2746 | −0.740685 | ||||||||
\(826\) | 17.1632 | − | 28.0776i | 0.597186 | − | 0.976946i | ||||
\(827\) | −5.61746 | − | 5.61746i | −0.195338 | − | 0.195338i | 0.602660 | − | 0.797998i | \(-0.294108\pi\) |
−0.797998 | + | 0.602660i | \(0.794108\pi\) | |||||||
\(828\) | 15.4593 | + | 34.9045i | 0.537249 | + | 1.21301i | ||||
\(829\) | −13.7815 | − | 51.4334i | −0.478652 | − | 1.78636i | −0.607085 | − | 0.794637i | \(-0.707661\pi\) |
0.128432 | − | 0.991718i | \(-0.459005\pi\) | |||||||
\(830\) | 1.62202 | + | 7.66761i | 0.0563012 | + | 0.266147i | ||||
\(831\) | 23.1356 | + | 40.0721i | 0.802565 | + | 1.39008i | ||||
\(832\) | 1.70854 | + | 3.40205i | 0.0592331 | + | 0.117945i | ||||
\(833\) | 0.0223106 | + | 0.394342i | 0.000773016 | + | 0.0136631i | ||||
\(834\) | −41.9673 | − | 46.7005i | −1.45321 | − | 1.61711i | ||||
\(835\) | −4.70531 | − | 1.26078i | −0.162834 | − | 0.0436312i | ||||
\(836\) | 20.2871 | − | 27.8091i | 0.701644 | − | 0.961798i | ||||
\(837\) | −0.791210 | − | 2.95283i | −0.0273482 | − | 0.102065i | ||||
\(838\) | −4.08257 | + | 2.07519i | −0.141030 | + | 0.0716861i | ||||
\(839\) | − | 42.8593i | − | 1.47967i | −0.672790 | − | 0.739834i | \(-0.734904\pi\) | ||
0.672790 | − | 0.739834i | \(-0.265096\pi\) | |||||||
\(840\) | 15.2650 | − | 1.99673i | 0.526694 | − | 0.0688939i | ||||
\(841\) | 17.4069i | 0.600238i | ||||||||
\(842\) | 0.744793 | + | 1.46525i | 0.0256673 | + | 0.0504960i | ||||
\(843\) | −7.62133 | − | 28.4432i | −0.262492 | − | 0.979635i | ||||
\(844\) | −2.32083 | + | 0.362967i | −0.0798864 | + | 0.0124938i | ||||
\(845\) | −10.6765 | − | 2.86075i | −0.367281 | − | 0.0984127i | ||||
\(846\) | −30.7112 | + | 27.5985i | −1.05587 | + | 0.948857i | ||||
\(847\) | −0.491095 | − | 17.3742i | −0.0168742 | − | 0.596985i | ||||
\(848\) | 12.6233 | − | 8.12814i | 0.433485 | − | 0.279122i | ||||
\(849\) | 4.49186 | + | 7.78012i | 0.154160 | + | 0.267013i | ||||
\(850\) | −0.331889 | + | 0.0702086i | −0.0113837 | + | 0.00240814i | ||||
\(851\) | −6.30548 | − | 23.5324i | −0.216149 | − | 0.806679i | ||||
\(852\) | 58.2182 | + | 22.4776i | 1.99452 | + | 0.770072i | ||||
\(853\) | 1.26515 | + | 1.26515i | 0.0433180 | + | 0.0433180i | 0.728434 | − | 0.685116i | \(-0.240249\pi\) |
−0.685116 | + | 0.728434i | \(0.740249\pi\) | |||||||
\(854\) | 11.5188 | + | 21.1591i | 0.394166 | + | 0.724051i | ||||
\(855\) | 18.7670 | 0.641818 | ||||||||
\(856\) | −14.0748 | − | 36.9877i | −0.481066 | − | 1.26421i | ||||
\(857\) | −19.6774 | + | 34.0822i | −0.672166 | + | 1.16423i | 0.305123 | + | 0.952313i | \(0.401302\pi\) |
−0.977289 | + | 0.211912i | \(0.932031\pi\) | |||||||
\(858\) | −2.82271 | − | 1.83699i | −0.0963659 | − | 0.0627138i | ||||
\(859\) | −28.9153 | − | 7.74782i | −0.986576 | − | 0.264352i | −0.270764 | − | 0.962646i | \(-0.587276\pi\) |
−0.715812 | + | 0.698293i | \(0.753943\pi\) | |||||||
\(860\) | 12.1635 | + | 1.30232i | 0.414773 | + | 0.0444087i | ||||
\(861\) | 7.22006 | − | 30.3515i | 0.246059 | − | 1.03438i | ||||
\(862\) | 21.4973 | − | 19.3185i | 0.732201 | − | 0.657991i | ||||
\(863\) | −1.42367 | + | 0.821957i | −0.0484624 | + | 0.0279798i | −0.524035 | − | 0.851696i | \(-0.675574\pi\) |
0.475573 | + | 0.879676i | \(0.342241\pi\) | |||||||
\(864\) | −3.32168 | + | 3.28959i | −0.113006 | + | 0.111914i | ||||
\(865\) | −0.760238 | + | 1.31677i | −0.0258489 | + | 0.0447716i | ||||
\(866\) | −46.7185 | − | 15.2299i | −1.58756 | − | 0.517533i | ||||
\(867\) | −28.5739 | − | 28.5739i | −0.970419 | − | 0.970419i | ||||
\(868\) | −1.53307 | + | 19.5136i | −0.0520357 | + | 0.662336i | ||||
\(869\) | −8.58662 | + | 8.58662i | −0.291281 | + | 0.291281i | ||||
\(870\) | 8.98075 | + | 17.6681i | 0.304476 | + | 0.599005i | ||||
\(871\) | −4.46290 | − | 2.57666i | −0.151220 | − | 0.0873066i | ||||
\(872\) | 4.97296 | − | 6.10466i | 0.168406 | − | 0.206730i | ||||
\(873\) | −12.0195 | − | 20.8184i | −0.406799 | − | 0.704596i | ||||
\(874\) | −4.43586 | + | 83.0978i | −0.150045 | + | 2.81082i | ||||
\(875\) | −6.05756 | − | 20.2950i | −0.204783 | − | 0.686096i | ||||
\(876\) | 19.9558 | − | 16.0958i | 0.674242 | − | 0.543827i | ||||
\(877\) | 2.19077 | − | 8.17605i | 0.0739769 | − | 0.276086i | −0.919022 | − | 0.394205i | \(-0.871020\pi\) |
0.992999 | + | 0.118120i | \(0.0376866\pi\) | |||||||
\(878\) | 9.54560 | + | 45.1238i | 0.322148 | + | 1.52286i | ||||
\(879\) | 8.26360 | + | 4.77099i | 0.278724 | + | 0.160922i | ||||
\(880\) | 6.93763 | − | 2.22443i | 0.233867 | − | 0.0749854i | ||||
\(881\) | 21.6012i | 0.727763i | 0.931445 | + | 0.363881i | \(0.118549\pi\) | ||||
−0.931445 | + | 0.363881i | \(0.881451\pi\) | |||||||
\(882\) | −18.5075 | + | 18.6258i | −0.623181 | + | 0.627165i | ||||
\(883\) | 13.8898 | − | 13.8898i | 0.467428 | − | 0.467428i | −0.433652 | − | 0.901080i | \(-0.642775\pi\) |
0.901080 | + | 0.433652i | \(0.142775\pi\) | |||||||
\(884\) | −0.0500975 | − | 0.0193423i | −0.00168496 | − | 0.000650552i | ||||
\(885\) | 17.4770 | − | 4.68296i | 0.587485 | − | 0.157416i | ||||
\(886\) | 16.3672 | + | 10.6516i | 0.549865 | + | 0.357846i | ||||
\(887\) | 6.26306 | − | 3.61598i | 0.210293 | − | 0.121413i | −0.391155 | − | 0.920325i | \(-0.627924\pi\) |
0.601448 | + | 0.798912i | \(0.294591\pi\) | |||||||
\(888\) | −18.4565 | + | 13.3275i | −0.619359 | + | 0.447241i | ||||
\(889\) | −20.0760 | − | 10.8464i | −0.673327 | − | 0.363777i | ||||
\(890\) | −0.167277 | + | 3.13363i | −0.00560713 | + | 0.105039i | ||||
\(891\) | 5.40534 | − | 20.1730i | 0.181086 | − | 0.675821i | ||||
\(892\) | 6.78108 | + | 4.94688i | 0.227047 | + | 0.165634i | ||||
\(893\) | −86.9398 | + | 23.2954i | −2.90933 | + | 0.779552i | ||||
\(894\) | −4.20849 | + | 12.9097i | −0.140753 | + | 0.431766i | ||||
\(895\) | 6.62866 | 0.221572 | ||||||||
\(896\) | 27.0778 | − | 12.7590i | 0.904606 | − | 0.426249i | ||||
\(897\) | 8.14168 | 0.271843 | ||||||||
\(898\) | −7.74450 | + | 23.7566i | −0.258437 | + | 0.792769i | ||||
\(899\) | −24.3406 | + | 6.52203i | −0.811803 | + | 0.217522i | ||||
\(900\) | −18.2191 | − | 13.2911i | −0.607305 | − | 0.443037i | ||||
\(901\) | −0.0548145 | + | 0.204571i | −0.00182614 | + | 0.00681524i | ||||
\(902\) | 0.787012 | − | 14.7432i | 0.0262046 | − | 0.490896i | ||||
\(903\) | −37.8625 | + | 23.3106i | −1.25999 | + | 0.775727i | ||||
\(904\) | −15.4626 | + | 11.1656i | −0.514279 | + | 0.371362i | ||||
\(905\) | 0.00474788 | − | 0.00274119i | 0.000157825 | − | 9.11202e-5i | ||||
\(906\) | −22.2552 | − | 14.4834i | −0.739380 | − | 0.481180i | ||||
\(907\) | −19.9743 | + | 5.35210i | −0.663237 | + | 0.177714i | −0.574706 | − | 0.818360i | \(-0.694884\pi\) |
−0.0885303 | + | 0.996073i | \(0.528217\pi\) | |||||||
\(908\) | 23.9972 | + | 9.26515i | 0.796375 | + | 0.307475i | ||||
\(909\) | 18.0035 | − | 18.0035i | 0.597137 | − | 0.597137i | ||||
\(910\) | 0.435953 | − | 1.47776i | 0.0144517 | − | 0.0489873i | ||||
\(911\) | − | 0.154520i | − | 0.00511948i | −0.999997 | − | 0.00255974i | \(-0.999185\pi\) | ||
0.999997 | − | 0.00255974i | \(-0.000814791\pi\) | |||||||
\(912\) | 74.0477 | − | 23.7421i | 2.45196 | − | 0.786179i | ||||
\(913\) | −11.6745 | − | 6.74028i | −0.386370 | − | 0.223071i | ||||
\(914\) | 1.18643 | + | 5.60849i | 0.0392437 | + | 0.185513i | ||||
\(915\) | −3.42832 | + | 12.7947i | −0.113337 | + | 0.422978i | ||||
\(916\) | −31.4978 | + | 25.4053i | −1.04072 | + | 0.839415i | ||||
\(917\) | −10.3571 | − | 9.78766i | −0.342021 | − | 0.323217i | ||||
\(918\) | 0.00351524 | − | 0.0658516i | 0.000116020 | − | 0.00217343i | ||||
\(919\) | −17.9792 | − | 31.1409i | −0.593079 | − | 1.02724i | −0.993815 | − | 0.111049i | \(-0.964579\pi\) |
0.400736 | − | 0.916194i | \(-0.368754\pi\) | |||||||
\(920\) | −11.1238 | + | 13.6553i | −0.366741 | + | 0.450201i | ||||
\(921\) | 51.0385 | + | 29.4671i | 1.68178 | + | 0.970974i | ||||
\(922\) | 2.16944 | + | 4.26800i | 0.0714467 | + | 0.140559i | ||||
\(923\) | 4.41631 | − | 4.41631i | 0.145365 | − | 0.145365i | ||||
\(924\) | −14.9957 | + | 21.8252i | −0.493321 | + | 0.717997i | ||||
\(925\) | 10.1769 | + | 10.1769i | 0.334614 | + | 0.334614i | ||||
\(926\) | 41.3631 | + | 13.4841i | 1.35928 | + | 0.443115i | ||||
\(927\) | −1.82191 | + | 3.15565i | −0.0598395 | + | 0.103645i | ||||
\(928\) | 27.1165 | + | 27.3810i | 0.890142 | + | 0.898825i | ||||
\(929\) | 13.9612 | − | 8.06050i | 0.458052 | − | 0.264456i | −0.253173 | − | 0.967421i | \(-0.581474\pi\) |
0.711225 | + | 0.702965i | \(0.248141\pi\) | |||||||
\(930\) | −8.00481 | + | 7.19351i | −0.262488 | + | 0.235884i | ||||
\(931\) | −54.3623 | + | 17.9136i | −1.78165 | + | 0.587093i | ||||
\(932\) | 45.6015 | + | 4.88244i | 1.49373 | + | 0.159929i | ||||
\(933\) | −51.4860 | − | 13.7956i | −1.68558 | − | 0.451649i | ||||
\(934\) | −8.52996 | − | 5.55120i | −0.279109 | − | 0.181641i | ||||
\(935\) | −0.0513854 | + | 0.0890021i | −0.00168048 | + | 0.00291068i | ||||
\(936\) | −1.26968 | − | 3.33663i | −0.0415007 | − | 0.109061i | ||||
\(937\) | −8.23172 | −0.268919 | −0.134459 | − | 0.990919i | \(-0.542930\pi\) | ||||
−0.134459 | + | 0.990919i | \(0.542930\pi\) | |||||||
\(938\) | −21.1329 | + | 34.5717i | −0.690015 | + | 1.12881i | ||||
\(939\) | −13.0096 | − | 13.0096i | −0.424552 | − | 0.424552i | ||||
\(940\) | −17.7713 | − | 6.86138i | −0.579636 | − | 0.223793i | ||||
\(941\) | 6.14005 | + | 22.9150i | 0.200160 | + | 0.747007i | 0.990870 | + | 0.134817i | \(0.0430447\pi\) |
−0.790710 | + | 0.612190i | \(0.790289\pi\) | |||||||
\(942\) | −53.1549 | + | 11.2445i | −1.73188 | + | 0.366365i | ||||
\(943\) | 17.8462 | + | 30.9105i | 0.581151 | + | 1.00658i | ||||
\(944\) | 29.5786 | − | 19.0457i | 0.962703 | − | 0.619885i | ||||
\(945\) | 1.89124 | − | 0.0534574i | 0.0615221 | − | 0.00173897i | ||||
\(946\) | −15.6505 | + | 14.0643i | −0.508842 | + | 0.457270i | ||||
\(947\) | 31.9395 | + | 8.55816i | 1.03789 | + | 0.278103i | 0.737240 | − | 0.675631i | \(-0.236129\pi\) |
0.300654 | + | 0.953733i | \(0.402795\pi\) | |||||||
\(948\) | −27.1024 | + | 4.23868i | −0.880245 | + | 0.137666i | ||||
\(949\) | −0.664085 | − | 2.47840i | −0.0215571 | − | 0.0804522i | ||||
\(950\) | −22.2758 | − | 43.8238i | −0.722722 | − | 1.42183i | ||||
\(951\) | 7.70103i | 0.249723i | ||||||||
\(952\) | −0.161911 | + | 0.389967i | −0.00524756 | + | 0.0126389i | ||||
\(953\) | − | 21.4014i | − | 0.693259i | −0.938002 | − | 0.346630i | \(-0.887326\pi\) | ||
0.938002 | − | 0.346630i | \(-0.112674\pi\) | |||||||
\(954\) | −12.5510 | + | 6.37973i | −0.406354 | + | 0.206551i | ||||
\(955\) | 3.44929 | + | 12.8729i | 0.111617 | + | 0.416558i | ||||
\(956\) | 6.04639 | − | 8.28825i | 0.195554 | − | 0.268061i | ||||
\(957\) | −32.9291 | − | 8.82333i | −1.06445 | − | 0.285218i | ||||
\(958\) | 2.69883 | + | 3.00321i | 0.0871952 | + | 0.0970293i | ||||
\(959\) | −24.2455 | + | 14.9271i | −0.782929 | + | 0.482020i | ||||
\(960\) | 15.6226 | + | 5.17689i | 0.504218 | + | 0.167083i | ||||
\(961\) | 8.65835 | + | 14.9967i | 0.279302 | + | 0.483765i | ||||
\(962\) | 0.471530 | + | 2.22901i | 0.0152027 | + | 0.0718663i | ||||
\(963\) | 9.60531 | + | 35.8475i | 0.309527 | + | 1.15517i | ||||
\(964\) | 13.7286 | + | 30.9967i | 0.442167 | + | 0.998335i | ||||
\(965\) | 0.948791 | + | 0.948791i | 0.0305426 | + | 0.0305426i | ||||
\(966\) | 1.60486 | − | 63.9958i | 0.0516355 | − | 2.05903i | ||||
\(967\) | −4.85592 | −0.156156 | −0.0780779 | − | 0.996947i | \(-0.524878\pi\) | ||||
−0.0780779 | + | 0.996947i | \(0.524878\pi\) | |||||||
\(968\) | 7.60706 | − | 16.9527i | 0.244500 | − | 0.544881i | ||||
\(969\) | −0.548454 | + | 0.949950i | −0.0176189 | + | 0.0305168i | ||||
\(970\) | 6.04954 | − | 9.29571i | 0.194239 | − | 0.298467i | ||||
\(971\) | 59.5122 | + | 15.9462i | 1.90984 | + | 0.511739i | 0.993881 | + | 0.110459i | \(0.0352322\pi\) |
0.915956 | + | 0.401280i | \(0.131434\pi\) | |||||||
\(972\) | 32.8627 | − | 26.5062i | 1.05407 | − | 0.850187i | ||||
\(973\) | 14.1307 | + | 47.3429i | 0.453010 | + | 1.51774i | ||||
\(974\) | 31.3930 | + | 34.9336i | 1.00590 | + | 1.11935i | ||||
\(975\) | −4.16536 | + | 2.40487i | −0.133398 | + | 0.0770175i | ||||
\(976\) | 1.24803 | + | 25.7245i | 0.0399483 | + | 0.823420i | ||||
\(977\) | −6.98255 | + | 12.0941i | −0.223392 | + | 0.386926i | −0.955836 | − | 0.293902i | \(-0.905046\pi\) |
0.732444 | + | 0.680827i | \(0.238380\pi\) | |||||||
\(978\) | −3.22598 | + | 9.89586i | −0.103156 | + | 0.316435i | ||||
\(979\) | −3.81673 | − | 3.81673i | −0.121983 | − | 0.121983i | ||||
\(980\) | −11.5297 | − | 3.71801i | −0.368302 | − | 0.118767i | ||||
\(981\) | −5.22113 | + | 5.22113i | −0.166698 | + | 0.166698i | ||||
\(982\) | −41.1289 | + | 20.9060i | −1.31248 | + | 0.667136i | ||||
\(983\) | 48.8774 | + | 28.2194i | 1.55895 | + | 0.900058i | 0.997358 | + | 0.0726413i | \(0.0231428\pi\) |
0.561588 | + | 0.827417i | \(0.310190\pi\) | |||||||
\(984\) | 21.0648 | − | 25.8585i | 0.671521 | − | 0.824340i | ||||
\(985\) | 0.643550 | + | 1.11466i | 0.0205052 | + | 0.0355161i | ||||
\(986\) | −0.542822 | − | 0.0289765i | −0.0172870 | − | 0.000922800i | ||||
\(987\) | 66.3474 | − | 19.8031i | 2.11186 | − | 0.630339i | ||||
\(988\) | 0.828489 | − | 7.73801i | 0.0263577 | − | 0.246179i | ||||
\(989\) | 13.1655 | − | 49.1342i | 0.418638 | − | 1.56238i | ||||
\(990\) | −6.68417 | + | 1.41398i | −0.212437 | + | 0.0449394i | ||||
\(991\) | 39.5634 | + | 22.8419i | 1.25677 | + | 0.725598i | 0.972446 | − | 0.233129i | \(-0.0748964\pi\) |
0.284327 | + | 0.958727i | \(0.408230\pi\) | |||||||
\(992\) | −10.5504 | + | 18.0708i | −0.334977 | + | 0.573748i | ||||
\(993\) | − | 9.89891i | − | 0.314132i | ||||||
\(994\) | −33.8429 | − | 35.5840i | −1.07343 | − | 1.12866i | ||||
\(995\) | −7.74566 | + | 7.74566i | −0.245554 | + | 0.245554i | ||||
\(996\) | −12.3322 | − | 27.8439i | −0.390761 | − | 0.882268i | ||||
\(997\) | 13.2530 | − | 3.55112i | 0.419726 | − | 0.112465i | −0.0427736 | − | 0.999085i | \(-0.513619\pi\) |
0.462499 | + | 0.886620i | \(0.346953\pi\) | |||||||
\(998\) | −16.0223 | + | 24.6198i | −0.507176 | + | 0.779326i | ||||
\(999\) | −2.42295 | + | 1.39889i | −0.0766588 | + | 0.0442590i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 112.2.v.a.3.10 | ✓ | 56 | |
4.3 | odd | 2 | 448.2.z.a.367.2 | 56 | |||
7.2 | even | 3 | 784.2.w.f.19.1 | 56 | |||
7.3 | odd | 6 | 784.2.j.a.195.20 | 56 | |||
7.4 | even | 3 | 784.2.j.a.195.19 | 56 | |||
7.5 | odd | 6 | inner | 112.2.v.a.19.1 | yes | 56 | |
7.6 | odd | 2 | 784.2.w.f.227.10 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.479.13 | 56 | |||
8.5 | even | 2 | 896.2.z.b.479.2 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.31.2 | 56 | |||
16.5 | even | 4 | 448.2.z.a.143.2 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.59.1 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.31.13 | 56 | |||
28.19 | even | 6 | 448.2.z.a.47.2 | 56 | |||
56.5 | odd | 6 | 896.2.z.b.607.2 | 56 | |||
56.19 | even | 6 | 896.2.z.a.607.13 | 56 | |||
112.5 | odd | 12 | 448.2.z.a.271.2 | 56 | |||
112.11 | odd | 12 | 784.2.j.a.587.20 | 56 | |||
112.19 | even | 12 | 896.2.z.b.159.2 | 56 | |||
112.27 | even | 4 | 784.2.w.f.619.1 | 56 | |||
112.59 | even | 12 | 784.2.j.a.587.19 | 56 | |||
112.61 | odd | 12 | 896.2.z.a.159.13 | 56 | |||
112.75 | even | 12 | inner | 112.2.v.a.75.10 | yes | 56 | |
112.107 | odd | 12 | 784.2.w.f.411.10 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.10 | ✓ | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.19.1 | yes | 56 | 7.5 | odd | 6 | inner | |
112.2.v.a.59.1 | yes | 56 | 16.11 | odd | 4 | inner | |
112.2.v.a.75.10 | yes | 56 | 112.75 | even | 12 | inner | |
448.2.z.a.47.2 | 56 | 28.19 | even | 6 | |||
448.2.z.a.143.2 | 56 | 16.5 | even | 4 | |||
448.2.z.a.271.2 | 56 | 112.5 | odd | 12 | |||
448.2.z.a.367.2 | 56 | 4.3 | odd | 2 | |||
784.2.j.a.195.19 | 56 | 7.4 | even | 3 | |||
784.2.j.a.195.20 | 56 | 7.3 | odd | 6 | |||
784.2.j.a.587.19 | 56 | 112.59 | even | 12 | |||
784.2.j.a.587.20 | 56 | 112.11 | odd | 12 | |||
784.2.w.f.19.1 | 56 | 7.2 | even | 3 | |||
784.2.w.f.227.10 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.411.10 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.619.1 | 56 | 112.27 | even | 4 | |||
896.2.z.a.31.13 | 56 | 16.13 | even | 4 | |||
896.2.z.a.159.13 | 56 | 112.61 | odd | 12 | |||
896.2.z.a.479.13 | 56 | 8.3 | odd | 2 | |||
896.2.z.a.607.13 | 56 | 56.19 | even | 6 | |||
896.2.z.b.31.2 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.159.2 | 56 | 112.19 | even | 12 | |||
896.2.z.b.479.2 | 56 | 8.5 | even | 2 | |||
896.2.z.b.607.2 | 56 | 56.5 | odd | 6 |